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Finding the Fourth Proportional to 296,115.89, 408,639.92 and 160,149.83

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Solution

The fourth proportional to 296,115.89, 408,639.92 and 160,149.83 is: 221,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,115.89 : 408,639.92 = 160,149.83 : x
  2. Step 2: Convert to fraction form
    296,115.89/408,639.92 = 160,149.83/x
  3. Step 3: Cross multiply
    296,115.89x = 408,639.92 × 160,149.83
  4. Step 4: Simplify right side
    296,115.89x = 65,443,613,719.21
  5. Step 5: Solve for x
    x = 65,443,613,719.21/296,115.89
  6. Step 6: Final answer
    x = 221,006.76

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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.