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Finding the Fourth Proportional to 442,516.48, 663,591.72 and 138,809.33

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Solution

The fourth proportional to 442,516.48, 663,591.72 and 138,809.33 is: 208,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,516.48 : 663,591.72 = 138,809.33 : x
  2. Step 2: Convert to fraction form
    442,516.48/663,591.72 = 138,809.33/x
  3. Step 3: Cross multiply
    442,516.48x = 663,591.72 × 138,809.33
  4. Step 4: Simplify right side
    442,516.48x = 92,112,721,352.70
  5. Step 5: Solve for x
    x = 92,112,721,352.70/442,516.48
  6. Step 6: Final answer
    x = 208,156.59

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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.