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Finding the Fourth Proportional to 547,447.60, 820,857.84 and 168,269.68

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Solution

The fourth proportional to 547,447.60, 820,857.84 and 168,269.68 is: 252,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,447.60 : 820,857.84 = 168,269.68 : x
  2. Step 2: Convert to fraction form
    547,447.60/820,857.84 = 168,269.68/x
  3. Step 3: Cross multiply
    547,447.60x = 820,857.84 × 168,269.68
  4. Step 4: Simplify right side
    547,447.60x = 138,125,486,062.29
  5. Step 5: Solve for x
    x = 138,125,486,062.29/547,447.60
  6. Step 6: Final answer
    x = 252,308.14

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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.