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Finding the Fourth Proportional to 498,445.60, 687,869.76 and 283,545.76

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Solution

The fourth proportional to 498,445.60, 687,869.76 and 283,545.76 is: 391,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,445.60 : 687,869.76 = 283,545.76 : x
  2. Step 2: Convert to fraction form
    498,445.60/687,869.76 = 283,545.76/x
  3. Step 3: Cross multiply
    498,445.60x = 687,869.76 × 283,545.76
  4. Step 4: Simplify right side
    498,445.60x = 195,042,553,880.22
  5. Step 5: Solve for x
    x = 195,042,553,880.22/498,445.60
  6. Step 6: Final answer
    x = 391,301.59

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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.