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Finding the Fourth Proportional to 498,737.70, 688,262.43 and 283,891.60

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Solution

The fourth proportional to 498,737.70, 688,262.43 and 283,891.60 is: 391,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,737.70 : 688,262.43 = 283,891.60 : x
  2. Step 2: Convert to fraction form
    498,737.70/688,262.43 = 283,891.60/x
  3. Step 3: Cross multiply
    498,737.70x = 688,262.43 × 283,891.60
  4. Step 4: Simplify right side
    498,737.70x = 195,391,922,472.59
  5. Step 5: Solve for x
    x = 195,391,922,472.59/498,737.70
  6. Step 6: Final answer
    x = 391,772.91

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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.