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Finding the Fourth Proportional to 458,083.80, 686,793.47 and 307,951.65

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Solution

The fourth proportional to 458,083.80, 686,793.47 and 307,951.65 is: 461,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,083.80 : 686,793.47 = 307,951.65 : x
  2. Step 2: Convert to fraction form
    458,083.80/686,793.47 = 307,951.65/x
  3. Step 3: Cross multiply
    458,083.80x = 686,793.47 × 307,951.65
  4. Step 4: Simplify right side
    458,083.80x = 211,499,180,755.97
  5. Step 5: Solve for x
    x = 211,499,180,755.97/458,083.80
  6. Step 6: Final answer
    x = 461,704.13

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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.