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Finding the Fourth Proportional to 296,756, 409,523.76 and 160,789.92

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Solution

The fourth proportional to 296,756, 409,523.76 and 160,789.92 is: 221,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,756 : 409,523.76 = 160,789.92 : x
  2. Step 2: Convert to fraction form
    296,756/409,523.76 = 160,789.92/x
  3. Step 3: Cross multiply
    296,756x = 409,523.76 × 160,789.92
  4. Step 4: Simplify right side
    296,756x = 65,847,292,608.50
  5. Step 5: Solve for x
    x = 65,847,292,608.50/296,756
  6. Step 6: Final answer
    x = 221,890.35

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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.