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Finding the Fourth Proportional to 442,138.32, 662,715 and 175,827.60

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Solution

The fourth proportional to 442,138.32, 662,715 and 175,827.60 is: 263,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,138.32 : 662,715 = 175,827.60 : x
  2. Step 2: Convert to fraction form
    442,138.32/662,715 = 175,827.60/x
  3. Step 3: Cross multiply
    442,138.32x = 662,715 × 175,827.60
  4. Step 4: Simplify right side
    442,138.32x = 116,523,587,934
  5. Step 5: Solve for x
    x = 116,523,587,934/442,138.32
  6. Step 6: Final answer
    x = 263,545.55

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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.