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Finding the Fourth Proportional to 458,500.70, 687,652.64 and 287,640.11

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Solution

The fourth proportional to 458,500.70, 687,652.64 and 287,640.11 is: 431,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,500.70 : 687,652.64 = 287,640.11 : x
  2. Step 2: Convert to fraction form
    458,500.70/687,652.64 = 287,640.11/x
  3. Step 3: Cross multiply
    458,500.70x = 687,652.64 × 287,640.11
  4. Step 4: Simplify right side
    458,500.70x = 197,796,482,370.97
  5. Step 5: Solve for x
    x = 197,796,482,370.97/458,500.70
  6. Step 6: Final answer
    x = 431,398.43

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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.