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Finding the Fourth Proportional to 491,264.34, 677,951.03 and 276,404.82

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Solution

The fourth proportional to 491,264.34, 677,951.03 and 276,404.82 is: 381,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,264.34 : 677,951.03 = 276,404.82 : x
  2. Step 2: Convert to fraction form
    491,264.34/677,951.03 = 276,404.82/x
  3. Step 3: Cross multiply
    491,264.34x = 677,951.03 × 276,404.82
  4. Step 4: Simplify right side
    491,264.34x = 187,388,931,033.94
  5. Step 5: Solve for x
    x = 187,388,931,033.94/491,264.34
  6. Step 6: Final answer
    x = 381,442.16

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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.