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Finding the Fourth Proportional to 642,136.70, 962,283.45 and 472,331.90

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Solution

The fourth proportional to 642,136.70, 962,283.45 and 472,331.90 is: 707,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,136.70 : 962,283.45 = 472,331.90 : x
  2. Step 2: Convert to fraction form
    642,136.70/962,283.45 = 472,331.90/x
  3. Step 3: Cross multiply
    642,136.70x = 962,283.45 × 472,331.90
  4. Step 4: Simplify right side
    642,136.70x = 454,517,170,277.06
  5. Step 5: Solve for x
    x = 454,517,170,277.06/642,136.70
  6. Step 6: Final answer
    x = 707,819.96

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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.