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Finding the Fourth Proportional to 547,351.29, 820,691.60 and 192,406.05

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Solution

The fourth proportional to 547,351.29, 820,691.60 and 192,406.05 is: 288,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,351.29 : 820,691.60 = 192,406.05 : x
  2. Step 2: Convert to fraction form
    547,351.29/820,691.60 = 192,406.05/x
  3. Step 3: Cross multiply
    547,351.29x = 820,691.60 × 192,406.05
  4. Step 4: Simplify right side
    547,351.29x = 157,906,028,062.15
  5. Step 5: Solve for x
    x = 157,906,028,062.15/547,351.29
  6. Step 6: Final answer
    x = 288,491.20

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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.