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Finding the Fourth Proportional to 420,781.52, 580,680.62 and 229,794.90

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Solution

The fourth proportional to 420,781.52, 580,680.62 and 229,794.90 is: 317,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,781.52 : 580,680.62 = 229,794.90 : x
  2. Step 2: Convert to fraction form
    420,781.52/580,680.62 = 229,794.90/x
  3. Step 3: Cross multiply
    420,781.52x = 580,680.62 × 229,794.90
  4. Step 4: Simplify right side
    420,781.52x = 133,437,443,855.86
  5. Step 5: Solve for x
    x = 133,437,443,855.86/420,781.52
  6. Step 6: Final answer
    x = 317,118.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.