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Finding the Fourth Proportional to 296,206.38, 408,762.90 and 160,239.78

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Solution

The fourth proportional to 296,206.38, 408,762.90 and 160,239.78 is: 221,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,206.38 : 408,762.90 = 160,239.78 : x
  2. Step 2: Convert to fraction form
    296,206.38/408,762.90 = 160,239.78/x
  3. Step 3: Cross multiply
    296,206.38x = 408,762.90 × 160,239.78
  4. Step 4: Simplify right side
    296,206.38x = 65,500,077,168.16
  5. Step 5: Solve for x
    x = 65,500,077,168.16/296,206.38
  6. Step 6: Final answer
    x = 221,129.87

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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.