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Finding the Fourth Proportional to 545,098.72, 817,648.32 and 245,229.12

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Solution

The fourth proportional to 545,098.72, 817,648.32 and 245,229.12 is: 367,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,098.72 : 817,648.32 = 245,229.12 : x
  2. Step 2: Convert to fraction form
    545,098.72/817,648.32 = 245,229.12/x
  3. Step 3: Cross multiply
    545,098.72x = 817,648.32 × 245,229.12
  4. Step 4: Simplify right side
    545,098.72x = 200,511,177,983.08
  5. Step 5: Solve for x
    x = 200,511,177,983.08/545,098.72
  6. Step 6: Final answer
    x = 367,843.79

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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.