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Finding the Fourth Proportional to 431,721.60, 646,545.60 and 413,059.20

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Solution

The fourth proportional to 431,721.60, 646,545.60 and 413,059.20 is: 618,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,721.60 : 646,545.60 = 413,059.20 : x
  2. Step 2: Convert to fraction form
    431,721.60/646,545.60 = 413,059.20/x
  3. Step 3: Cross multiply
    431,721.60x = 646,545.60 × 413,059.20
  4. Step 4: Simplify right side
    431,721.60x = 267,061,608,299.52
  5. Step 5: Solve for x
    x = 267,061,608,299.52/431,721.60
  6. Step 6: Final answer
    x = 618,596.82

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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.