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Finding the Fourth Proportional to 391,714.60, 587,456.70 and 154,978.60

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Solution

The fourth proportional to 391,714.60, 587,456.70 and 154,978.60 is: 232,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,714.60 : 587,456.70 = 154,978.60 : x
  2. Step 2: Convert to fraction form
    391,714.60/587,456.70 = 154,978.60/x
  3. Step 3: Cross multiply
    391,714.60x = 587,456.70 × 154,978.60
  4. Step 4: Simplify right side
    391,714.60x = 91,043,216,926.62
  5. Step 5: Solve for x
    x = 91,043,216,926.62/391,714.60
  6. Step 6: Final answer
    x = 232,422.32

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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.