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Finding the Fourth Proportional to 458,519.40, 686,781.90 and 280,487.88

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Solution

The fourth proportional to 458,519.40, 686,781.90 and 280,487.88 is: 420,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,519.40 : 686,781.90 = 280,487.88 : x
  2. Step 2: Convert to fraction form
    458,519.40/686,781.90 = 280,487.88/x
  3. Step 3: Cross multiply
    458,519.40x = 686,781.90 × 280,487.88
  4. Step 4: Simplify right side
    458,519.40x = 192,633,999,153.37
  5. Step 5: Solve for x
    x = 192,633,999,153.37/458,519.40
  6. Step 6: Final answer
    x = 420,121.81

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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.