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Finding the Fourth Proportional to 458,251.45, 687,213.13 and 158,651.58

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Solution

The fourth proportional to 458,251.45, 687,213.13 and 158,651.58 is: 237,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,251.45 : 687,213.13 = 158,651.58 : x
  2. Step 2: Convert to fraction form
    458,251.45/687,213.13 = 158,651.58/x
  3. Step 3: Cross multiply
    458,251.45x = 687,213.13 × 158,651.58
  4. Step 4: Simplify right side
    458,251.45x = 109,027,448,871.25
  5. Step 5: Solve for x
    x = 109,027,448,871.25/458,251.45
  6. Step 6: Final answer
    x = 237,920.58

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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.