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Finding the Fourth Proportional to 289,514.88, 434,251.40 and 89,830.17

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Solution

The fourth proportional to 289,514.88, 434,251.40 and 89,830.17 is: 134,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,514.88 : 434,251.40 = 89,830.17 : x
  2. Step 2: Convert to fraction form
    289,514.88/434,251.40 = 89,830.17/x
  3. Step 3: Cross multiply
    289,514.88x = 434,251.40 × 89,830.17
  4. Step 4: Simplify right side
    289,514.88x = 39,008,876,635.59
  5. Step 5: Solve for x
    x = 39,008,876,635.59/289,514.88
  6. Step 6: Final answer
    x = 134,738.76

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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.