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Finding the Fourth Proportional to 547,489.62, 821,236.33 and 168,407.78

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Solution

The fourth proportional to 547,489.62, 821,236.33 and 168,407.78 is: 252,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,489.62 : 821,236.33 = 168,407.78 : x
  2. Step 2: Convert to fraction form
    547,489.62/821,236.33 = 168,407.78/x
  3. Step 3: Cross multiply
    547,489.62x = 821,236.33 × 168,407.78
  4. Step 4: Simplify right side
    547,489.62x = 138,302,587,190.65
  5. Step 5: Solve for x
    x = 138,302,587,190.65/547,489.62
  6. Step 6: Final answer
    x = 252,612.25

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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.