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Finding the Fourth Proportional to 491,294.70, 677,999.93 and 276,442.38

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Solution

The fourth proportional to 491,294.70, 677,999.93 and 276,442.38 is: 381,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,294.70 : 677,999.93 = 276,442.38 : x
  2. Step 2: Convert to fraction form
    491,294.70/677,999.93 = 276,442.38/x
  3. Step 3: Cross multiply
    491,294.70x = 677,999.93 × 276,442.38
  4. Step 4: Simplify right side
    491,294.70x = 187,427,912,906.82
  5. Step 5: Solve for x
    x = 187,427,912,906.82/491,294.70
  6. Step 6: Final answer
    x = 381,497.93

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1.5x scale

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.