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Finding the Fourth Proportional to 437,631, 656,446.68 and 138,141.84

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Solution

The fourth proportional to 437,631, 656,446.68 and 138,141.84 is: 207,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,631 : 656,446.68 = 138,141.84 : x
  2. Step 2: Convert to fraction form
    437,631/656,446.68 = 138,141.84/x
  3. Step 3: Cross multiply
    437,631x = 656,446.68 × 138,141.84
  4. Step 4: Simplify right side
    437,631x = 90,682,752,237.09
  5. Step 5: Solve for x
    x = 90,682,752,237.09/437,631
  6. Step 6: Final answer
    x = 207,212.82

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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.