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Finding the Fourth Proportional to 491,308.47, 735,781.71 and 280,306.71

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Solution

The fourth proportional to 491,308.47, 735,781.71 and 280,306.71 is: 419,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,308.47 : 735,781.71 = 280,306.71 : x
  2. Step 2: Convert to fraction form
    491,308.47/735,781.71 = 280,306.71/x
  3. Step 3: Cross multiply
    491,308.47x = 735,781.71 × 280,306.71
  4. Step 4: Simplify right side
    491,308.47x = 206,244,550,408.27
  5. Step 5: Solve for x
    x = 206,244,550,408.27/491,308.47
  6. Step 6: Final answer
    x = 419,786.27

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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.