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Finding the Fourth Proportional to 1,472,216.98, 2,031,731.49 and 827,839.30

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Solution

The fourth proportional to 1,472,216.98, 2,031,731.49 and 827,839.30 is: 1,142,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,216.98 : 2,031,731.49 = 827,839.30 : x
  2. Step 2: Convert to fraction form
    1,472,216.98/2,031,731.49 = 827,839.30/x
  3. Step 3: Cross multiply
    1,472,216.98x = 2,031,731.49 × 827,839.30
  4. Step 4: Simplify right side
    1,472,216.98x = 1,681,947,174,469.56
  5. Step 5: Solve for x
    x = 1,681,947,174,469.56/1,472,216.98
  6. Step 6: Final answer
    x = 1,142,458.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.