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Finding the Fourth Proportional to 281,381.52, 422,105.64 and 176,209.20

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Solution

The fourth proportional to 281,381.52, 422,105.64 and 176,209.20 is: 264,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,381.52 : 422,105.64 = 176,209.20 : x
  2. Step 2: Convert to fraction form
    281,381.52/422,105.64 = 176,209.20/x
  3. Step 3: Cross multiply
    281,381.52x = 422,105.64 × 176,209.20
  4. Step 4: Simplify right side
    281,381.52x = 74,378,897,139.89
  5. Step 5: Solve for x
    x = 74,378,897,139.89/281,381.52
  6. Step 6: Final answer
    x = 264,334.69

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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.