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Finding the Fourth Proportional to 422,095.68, 633,138.24 and 169,488

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Solution

The fourth proportional to 422,095.68, 633,138.24 and 169,488 is: 254,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,095.68 : 633,138.24 = 169,488 : x
  2. Step 2: Convert to fraction form
    422,095.68/633,138.24 = 169,488/x
  3. Step 3: Cross multiply
    422,095.68x = 633,138.24 × 169,488
  4. Step 4: Simplify right side
    422,095.68x = 107,309,334,021.12
  5. Step 5: Solve for x
    x = 107,309,334,021.12/422,095.68
  6. Step 6: Final answer
    x = 254,229.88

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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.