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Finding the Fourth Proportional to 431,337.52, 646,837.80 and 165,009.52

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Solution

The fourth proportional to 431,337.52, 646,837.80 and 165,009.52 is: 247,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,337.52 : 646,837.80 = 165,009.52 : x
  2. Step 2: Convert to fraction form
    431,337.52/646,837.80 = 165,009.52/x
  3. Step 3: Cross multiply
    431,337.52x = 646,837.80 × 165,009.52
  4. Step 4: Simplify right side
    431,337.52x = 106,734,394,895.86
  5. Step 5: Solve for x
    x = 106,734,394,895.86/431,337.52
  6. Step 6: Final answer
    x = 247,449.83

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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.