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Finding the Fourth Proportional to 312,822.10, 469,233.15 and 155,358.10

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Solution

The fourth proportional to 312,822.10, 469,233.15 and 155,358.10 is: 233,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,822.10 : 469,233.15 = 155,358.10 : x
  2. Step 2: Convert to fraction form
    312,822.10/469,233.15 = 155,358.10/x
  3. Step 3: Cross multiply
    312,822.10x = 469,233.15 × 155,358.10
  4. Step 4: Simplify right side
    312,822.10x = 72,899,170,641.02
  5. Step 5: Solve for x
    x = 72,899,170,641.02/312,822.10
  6. Step 6: Final answer
    x = 233,037.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.