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Finding the Fourth Proportional to 439,920.12, 659,872.08 and 140,398.32

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Solution

The fourth proportional to 439,920.12, 659,872.08 and 140,398.32 is: 210,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,920.12 : 659,872.08 = 140,398.32 : x
  2. Step 2: Convert to fraction form
    439,920.12/659,872.08 = 140,398.32/x
  3. Step 3: Cross multiply
    439,920.12x = 659,872.08 × 140,398.32
  4. Step 4: Simplify right side
    439,920.12x = 92,644,931,446.91
  5. Step 5: Solve for x
    x = 92,644,931,446.91/439,920.12
  6. Step 6: Final answer
    x = 210,594.89

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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.