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Finding the Fourth Proportional to 289,441.53, 434,204.34 and 89,778

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Solution

The fourth proportional to 289,441.53, 434,204.34 and 89,778 is: 134,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,441.53 : 434,204.34 = 89,778 : x
  2. Step 2: Convert to fraction form
    289,441.53/434,204.34 = 89,778/x
  3. Step 3: Cross multiply
    289,441.53x = 434,204.34 × 89,778
  4. Step 4: Simplify right side
    289,441.53x = 38,981,997,236.52
  5. Step 5: Solve for x
    x = 38,981,997,236.52/289,441.53
  6. Step 6: Final answer
    x = 134,680.04

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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.