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Finding the Fourth Proportional to 491,352.32, 678,013.92 and 276,488.64

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Solution

The fourth proportional to 491,352.32, 678,013.92 and 276,488.64 is: 381,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,352.32 : 678,013.92 = 276,488.64 : x
  2. Step 2: Convert to fraction form
    491,352.32/678,013.92 = 276,488.64/x
  3. Step 3: Cross multiply
    491,352.32x = 678,013.92 × 276,488.64
  4. Step 4: Simplify right side
    491,352.32x = 187,463,146,641.87
  5. Step 5: Solve for x
    x = 187,463,146,641.87/491,352.32
  6. Step 6: Final answer
    x = 381,524.90

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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.