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Finding the Fourth Proportional to 442,516.46, 663,591.70 and 138,809.32

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Solution

The fourth proportional to 442,516.46, 663,591.70 and 138,809.32 is: 208,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,516.46 : 663,591.70 = 138,809.32 : x
  2. Step 2: Convert to fraction form
    442,516.46/663,591.70 = 138,809.32/x
  3. Step 3: Cross multiply
    442,516.46x = 663,591.70 × 138,809.32
  4. Step 4: Simplify right side
    442,516.46x = 92,112,710,411.20
  5. Step 5: Solve for x
    x = 92,112,710,411.20/442,516.46
  6. Step 6: Final answer
    x = 208,156.57

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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.