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Finding the Fourth Proportional to 491,177.61, 677,576.99 and 287,095.20

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Solution

The fourth proportional to 491,177.61, 677,576.99 and 287,095.20 is: 396,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,177.61 : 677,576.99 = 287,095.20 : x
  2. Step 2: Convert to fraction form
    491,177.61/677,576.99 = 287,095.20/x
  3. Step 3: Cross multiply
    491,177.61x = 677,576.99 × 287,095.20
  4. Step 4: Simplify right side
    491,177.61x = 194,529,101,832.73
  5. Step 5: Solve for x
    x = 194,529,101,832.73/491,177.61
  6. Step 6: Final answer
    x = 396,046.35

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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.