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Finding the Fourth Proportional to 517,463.78, 776,141.06 and 138,422.79

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Solution

The fourth proportional to 517,463.78, 776,141.06 and 138,422.79 is: 207,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,463.78 : 776,141.06 = 138,422.79 : x
  2. Step 2: Convert to fraction form
    517,463.78/776,141.06 = 138,422.79/x
  3. Step 3: Cross multiply
    517,463.78x = 776,141.06 × 138,422.79
  4. Step 4: Simplify right side
    517,463.78x = 107,435,607,078.05
  5. Step 5: Solve for x
    x = 107,435,607,078.05/517,463.78
  6. Step 6: Final answer
    x = 207,619.57

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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.