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Finding the Fourth Proportional to 540,801.81, 746,223.60 and 311,314.76

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Solution

The fourth proportional to 540,801.81, 746,223.60 and 311,314.76 is: 429,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,801.81 : 746,223.60 = 311,314.76 : x
  2. Step 2: Convert to fraction form
    540,801.81/746,223.60 = 311,314.76/x
  3. Step 3: Cross multiply
    540,801.81x = 746,223.60 × 311,314.76
  4. Step 4: Simplify right side
    540,801.81x = 232,310,417,209.22
  5. Step 5: Solve for x
    x = 232,310,417,209.22/540,801.81
  6. Step 6: Final answer
    x = 429,566.64

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Double scale
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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.