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Finding the Fourth Proportional to 289,920.78, 400,093.92 and 160,861.59

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Solution

The fourth proportional to 289,920.78, 400,093.92 and 160,861.59 is: 221,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,920.78 : 400,093.92 = 160,861.59 : x
  2. Step 2: Convert to fraction form
    289,920.78/400,093.92 = 160,861.59/x
  3. Step 3: Cross multiply
    289,920.78x = 400,093.92 × 160,861.59
  4. Step 4: Simplify right side
    289,920.78x = 64,359,744,120.53
  5. Step 5: Solve for x
    x = 64,359,744,120.53/289,920.78
  6. Step 6: Final answer
    x = 221,990.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.