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Finding the Fourth Proportional to 522,854.88, 721,539.67 and 296,500.38

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Solution

The fourth proportional to 522,854.88, 721,539.67 and 296,500.38 is: 409,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,854.88 : 721,539.67 = 296,500.38 : x
  2. Step 2: Convert to fraction form
    522,854.88/721,539.67 = 296,500.38/x
  3. Step 3: Cross multiply
    522,854.88x = 721,539.67 × 296,500.38
  4. Step 4: Simplify right side
    522,854.88x = 213,936,786,340.08
  5. Step 5: Solve for x
    x = 213,936,786,340.08/522,854.88
  6. Step 6: Final answer
    x = 409,170.49

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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.