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Finding the Fourth Proportional to 288,257.22, 431,911.39 and 98,613.92

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Solution

The fourth proportional to 288,257.22, 431,911.39 and 98,613.92 is: 147,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,257.22 : 431,911.39 = 98,613.92 : x
  2. Step 2: Convert to fraction form
    288,257.22/431,911.39 = 98,613.92/x
  3. Step 3: Cross multiply
    288,257.22x = 431,911.39 × 98,613.92
  4. Step 4: Simplify right side
    288,257.22x = 42,592,472,607.92
  5. Step 5: Solve for x
    x = 42,592,472,607.92/288,257.22
  6. Step 6: Final answer
    x = 147,758.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.