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Finding the Fourth Proportional to 522,496.12, 721,044.84 and 296,143.24

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Solution

The fourth proportional to 522,496.12, 721,044.84 and 296,143.24 is: 408,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,496.12 : 721,044.84 = 296,143.24 : x
  2. Step 2: Convert to fraction form
    522,496.12/721,044.84 = 296,143.24/x
  3. Step 3: Cross multiply
    522,496.12x = 721,044.84 × 296,143.24
  4. Step 4: Simplify right side
    522,496.12x = 213,532,555,102.88
  5. Step 5: Solve for x
    x = 213,532,555,102.88/522,496.12
  6. Step 6: Final answer
    x = 408,677.78

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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.