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Finding the Fourth Proportional to 442,672.38, 664,007.13 and 265,232.70

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Solution

The fourth proportional to 442,672.38, 664,007.13 and 265,232.70 is: 397,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,672.38 : 664,007.13 = 265,232.70 : x
  2. Step 2: Convert to fraction form
    442,672.38/664,007.13 = 265,232.70/x
  3. Step 3: Cross multiply
    442,672.38x = 664,007.13 × 265,232.70
  4. Step 4: Simplify right side
    442,672.38x = 176,116,403,909.15
  5. Step 5: Solve for x
    x = 176,116,403,909.15/442,672.38
  6. Step 6: Final answer
    x = 397,848.19

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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.