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Finding the Fourth Proportional to 465,681.30, 642,753.37 and 284,545.76

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Solution

The fourth proportional to 465,681.30, 642,753.37 and 284,545.76 is: 392,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,681.30 : 642,753.37 = 284,545.76 : x
  2. Step 2: Convert to fraction form
    465,681.30/642,753.37 = 284,545.76/x
  3. Step 3: Cross multiply
    465,681.30x = 642,753.37 × 284,545.76
  4. Step 4: Simplify right side
    465,681.30x = 182,892,746,870.58
  5. Step 5: Solve for x
    x = 182,892,746,870.58/465,681.30
  6. Step 6: Final answer
    x = 392,742.30

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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.