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Finding the Fourth Proportional to 288,974.88, 433,508.58 and 89,248.32

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Solution

The fourth proportional to 288,974.88, 433,508.58 and 89,248.32 is: 133,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,974.88 : 433,508.58 = 89,248.32 : x
  2. Step 2: Convert to fraction form
    288,974.88/433,508.58 = 89,248.32/x
  3. Step 3: Cross multiply
    288,974.88x = 433,508.58 × 89,248.32
  4. Step 4: Simplify right side
    288,974.88x = 38,689,912,470.59
  5. Step 5: Solve for x
    x = 38,689,912,470.59/288,974.88
  6. Step 6: Final answer
    x = 133,886.77

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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.