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Finding the Fourth Proportional to 517,460.87, 776,136.68 and 138,419.85

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Solution

The fourth proportional to 517,460.87, 776,136.68 and 138,419.85 is: 207,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,460.87 : 776,136.68 = 138,419.85 : x
  2. Step 2: Convert to fraction form
    517,460.87/776,136.68 = 138,419.85/x
  3. Step 3: Cross multiply
    517,460.87x = 776,136.68 × 138,419.85
  4. Step 4: Simplify right side
    517,460.87x = 107,432,725,562.59
  5. Step 5: Solve for x
    x = 107,432,725,562.59/517,460.87
  6. Step 6: Final answer
    x = 207,615.17

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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.