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Finding the Fourth Proportional to 559,136.41, 838,704.61 and 138,412.28

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Solution

The fourth proportional to 559,136.41, 838,704.61 and 138,412.28 is: 207,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,136.41 : 838,704.61 = 138,412.28 : x
  2. Step 2: Convert to fraction form
    559,136.41/838,704.61 = 138,412.28/x
  3. Step 3: Cross multiply
    559,136.41x = 838,704.61 × 138,412.28
  4. Step 4: Simplify right side
    559,136.41x = 116,087,017,316.61
  5. Step 5: Solve for x
    x = 116,087,017,316.61/559,136.41
  6. Step 6: Final answer
    x = 207,618.42

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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.