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Finding the Fourth Proportional to 458,400.52, 687,741.56 and 218,820.15

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Solution

The fourth proportional to 458,400.52, 687,741.56 and 218,820.15 is: 328,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,400.52 : 687,741.56 = 218,820.15 : x
  2. Step 2: Convert to fraction form
    458,400.52/687,741.56 = 218,820.15/x
  3. Step 3: Cross multiply
    458,400.52x = 687,741.56 × 218,820.15
  4. Step 4: Simplify right side
    458,400.52x = 150,491,711,320.43
  5. Step 5: Solve for x
    x = 150,491,711,320.43/458,400.52
  6. Step 6: Final answer
    x = 328,297.43

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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.