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Finding the Fourth Proportional to 540,803.81, 746,226.36 and 311,316.76

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Solution

The fourth proportional to 540,803.81, 746,226.36 and 311,316.76 is: 429,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,803.81 : 746,226.36 = 311,316.76 : x
  2. Step 2: Convert to fraction form
    540,803.81/746,226.36 = 311,316.76/x
  3. Step 3: Cross multiply
    540,803.81x = 746,226.36 × 311,316.76
  4. Step 4: Simplify right side
    540,803.81x = 232,312,772,621.79
  5. Step 5: Solve for x
    x = 232,312,772,621.79/540,803.81
  6. Step 6: Final answer
    x = 429,569.41

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.