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Finding the Fourth Proportional to 288,724.82, 433,082.45 and 86,321.39

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Solution

The fourth proportional to 288,724.82, 433,082.45 and 86,321.39 is: 129,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,724.82 : 433,082.45 = 86,321.39 : x
  2. Step 2: Convert to fraction form
    288,724.82/433,082.45 = 86,321.39/x
  3. Step 3: Cross multiply
    288,724.82x = 433,082.45 × 86,321.39
  4. Step 4: Simplify right side
    288,724.82x = 37,384,276,471.59
  5. Step 5: Solve for x
    x = 37,384,276,471.59/288,724.82
  6. Step 6: Final answer
    x = 129,480.65

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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.