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Finding the Fourth Proportional to 485,472, 728,330.88 and 135,264

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Solution

The fourth proportional to 485,472, 728,330.88 and 135,264 is: 202,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,472 : 728,330.88 = 135,264 : x
  2. Step 2: Convert to fraction form
    485,472/728,330.88 = 135,264/x
  3. Step 3: Cross multiply
    485,472x = 728,330.88 × 135,264
  4. Step 4: Simplify right side
    485,472x = 98,516,948,152.32
  5. Step 5: Solve for x
    x = 98,516,948,152.32/485,472
  6. Step 6: Final answer
    x = 202,930.24

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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.