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Finding the Fourth Proportional to 288,286.34, 432,470.85 and 88,623.49

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Solution

The fourth proportional to 288,286.34, 432,470.85 and 88,623.49 is: 132,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,286.34 : 432,470.85 = 88,623.49 : x
  2. Step 2: Convert to fraction form
    288,286.34/432,470.85 = 88,623.49/x
  3. Step 3: Cross multiply
    288,286.34x = 432,470.85 × 88,623.49
  4. Step 4: Simplify right side
    288,286.34x = 38,327,073,887.91
  5. Step 5: Solve for x
    x = 38,327,073,887.91/288,286.34
  6. Step 6: Final answer
    x = 132,947.94

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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.