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Finding the Fourth Proportional to 419,136.92, 628,705.58 and 138,654.17

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Solution

The fourth proportional to 419,136.92, 628,705.58 and 138,654.17 is: 207,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136.92 : 628,705.58 = 138,654.17 : x
  2. Step 2: Convert to fraction form
    419,136.92/628,705.58 = 138,654.17/x
  3. Step 3: Cross multiply
    419,136.92x = 628,705.58 × 138,654.17
  4. Step 4: Simplify right side
    419,136.92x = 87,172,650,369.27
  5. Step 5: Solve for x
    x = 87,172,650,369.27/419,136.92
  6. Step 6: Final answer
    x = 207,981.32

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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.