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Finding the Fourth Proportional to 391,245.60, 587,041.20 and 180,775.20

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Solution

The fourth proportional to 391,245.60, 587,041.20 and 180,775.20 is: 271,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,245.60 : 587,041.20 = 180,775.20 : x
  2. Step 2: Convert to fraction form
    391,245.60/587,041.20 = 180,775.20/x
  3. Step 3: Cross multiply
    391,245.60x = 587,041.20 × 180,775.20
  4. Step 4: Simplify right side
    391,245.60x = 106,122,490,338.24
  5. Step 5: Solve for x
    x = 106,122,490,338.24/391,245.60
  6. Step 6: Final answer
    x = 271,242.64

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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.