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Finding the Fourth Proportional to 522,854.38, 721,538.98 and 296,499.88

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Solution

The fourth proportional to 522,854.38, 721,538.98 and 296,499.88 is: 409,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,854.38 : 721,538.98 = 296,499.88 : x
  2. Step 2: Convert to fraction form
    522,854.38/721,538.98 = 296,499.88/x
  3. Step 3: Cross multiply
    522,854.38x = 721,538.98 × 296,499.88
  4. Step 4: Simplify right side
    522,854.38x = 213,936,220,985.32
  5. Step 5: Solve for x
    x = 213,936,220,985.32/522,854.38
  6. Step 6: Final answer
    x = 409,169.80

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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.