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Finding the Fourth Proportional to 288,149.92, 431,929.28 and 110,609.12

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Solution

The fourth proportional to 288,149.92, 431,929.28 and 110,609.12 is: 165,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,149.92 : 431,929.28 = 110,609.12 : x
  2. Step 2: Convert to fraction form
    288,149.92/431,929.28 = 110,609.12/x
  3. Step 3: Cross multiply
    288,149.92x = 431,929.28 × 110,609.12
  4. Step 4: Simplify right side
    288,149.92x = 47,775,317,563.03
  5. Step 5: Solve for x
    x = 47,775,317,563.03/288,149.92
  6. Step 6: Final answer
    x = 165,800.21

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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.