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Finding the Fourth Proportional to 458,207.90, 686,728.65 and 408,052.70

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Solution

The fourth proportional to 458,207.90, 686,728.65 and 408,052.70 is: 611,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,207.90 : 686,728.65 = 408,052.70 : x
  2. Step 2: Convert to fraction form
    458,207.90/686,728.65 = 408,052.70/x
  3. Step 3: Cross multiply
    458,207.90x = 686,728.65 × 408,052.70
  4. Step 4: Simplify right side
    458,207.90x = 280,221,479,799.86
  5. Step 5: Solve for x
    x = 280,221,479,799.86/458,207.90
  6. Step 6: Final answer
    x = 611,559.69

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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.