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Finding the Fourth Proportional to 288,082.60, 431,994.30 and 130,229.80

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Solution

The fourth proportional to 288,082.60, 431,994.30 and 130,229.80 is: 195,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082.60 : 431,994.30 = 130,229.80 : x
  2. Step 2: Convert to fraction form
    288,082.60/431,994.30 = 130,229.80/x
  3. Step 3: Cross multiply
    288,082.60x = 431,994.30 × 130,229.80
  4. Step 4: Simplify right side
    288,082.60x = 56,258,531,290.14
  5. Step 5: Solve for x
    x = 56,258,531,290.14/288,082.60
  6. Step 6: Final answer
    x = 195,286.11

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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.