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Finding the Fourth Proportional to 288,082.60, 431,087.10 and 194,770.60

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Solution

The fourth proportional to 288,082.60, 431,087.10 and 194,770.60 is: 291,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082.60 : 431,087.10 = 194,770.60 : x
  2. Step 2: Convert to fraction form
    288,082.60/431,087.10 = 194,770.60/x
  3. Step 3: Cross multiply
    288,082.60x = 431,087.10 × 194,770.60
  4. Step 4: Simplify right side
    288,082.60x = 83,963,093,119.26
  5. Step 5: Solve for x
    x = 83,963,093,119.26/288,082.60
  6. Step 6: Final answer
    x = 291,454.93

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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.