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Finding the Fourth Proportional to 391,411.44, 587,350.44 and 142,112.88

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Solution

The fourth proportional to 391,411.44, 587,350.44 and 142,112.88 is: 213,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,411.44 : 587,350.44 = 142,112.88 : x
  2. Step 2: Convert to fraction form
    391,411.44/587,350.44 = 142,112.88/x
  3. Step 3: Cross multiply
    391,411.44x = 587,350.44 × 142,112.88
  4. Step 4: Simplify right side
    391,411.44x = 83,470,062,597.67
  5. Step 5: Solve for x
    x = 83,470,062,597.67/391,411.44
  6. Step 6: Final answer
    x = 213,254.02

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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.