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Finding the Fourth Proportional to 517,757.24, 776,937.72 and 218,219.24

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Solution

The fourth proportional to 517,757.24, 776,937.72 and 218,219.24 is: 327,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,757.24 : 776,937.72 = 218,219.24 : x
  2. Step 2: Convert to fraction form
    517,757.24/776,937.72 = 218,219.24/x
  3. Step 3: Cross multiply
    517,757.24x = 776,937.72 × 218,219.24
  4. Step 4: Simplify right side
    517,757.24x = 169,542,758,785.73
  5. Step 5: Solve for x
    x = 169,542,758,785.73/517,757.24
  6. Step 6: Final answer
    x = 327,456.08

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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.