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Finding the Fourth Proportional to 517,463.28, 776,140.31 and 138,422.28

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Solution

The fourth proportional to 517,463.28, 776,140.31 and 138,422.28 is: 207,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,463.28 : 776,140.31 = 138,422.28 : x
  2. Step 2: Convert to fraction form
    517,463.28/776,140.31 = 138,422.28/x
  3. Step 3: Cross multiply
    517,463.28x = 776,140.31 × 138,422.28
  4. Step 4: Simplify right side
    517,463.28x = 107,435,114,566.69
  5. Step 5: Solve for x
    x = 107,435,114,566.69/517,463.28
  6. Step 6: Final answer
    x = 207,618.82

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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.