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Finding the Fourth Proportional to 289,396.20, 434,110.71 and 89,744.97

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Solution

The fourth proportional to 289,396.20, 434,110.71 and 89,744.97 is: 134,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,396.20 : 434,110.71 = 89,744.97 : x
  2. Step 2: Convert to fraction form
    289,396.20/434,110.71 = 89,744.97/x
  3. Step 3: Cross multiply
    289,396.20x = 434,110.71 × 89,744.97
  4. Step 4: Simplify right side
    289,396.20x = 38,959,254,273.54
  5. Step 5: Solve for x
    x = 38,959,254,273.54/289,396.20
  6. Step 6: Final answer
    x = 134,622.55

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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.