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Finding the Fourth Proportional to 438,757.31, 658,135.98 and 106,333.31

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Solution

The fourth proportional to 438,757.31, 658,135.98 and 106,333.31 is: 159,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,757.31 : 658,135.98 = 106,333.31 : x
  2. Step 2: Convert to fraction form
    438,757.31/658,135.98 = 106,333.31/x
  3. Step 3: Cross multiply
    438,757.31x = 658,135.98 × 106,333.31
  4. Step 4: Simplify right side
    438,757.31x = 69,981,778,828.83
  5. Step 5: Solve for x
    x = 69,981,778,828.83/438,757.31
  6. Step 6: Final answer
    x = 159,499.97

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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.