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Finding the Fourth Proportional to 491,489.94, 737,499.77 and 207,377.40

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Solution

The fourth proportional to 491,489.94, 737,499.77 and 207,377.40 is: 311,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,489.94 : 737,499.77 = 207,377.40 : x
  2. Step 2: Convert to fraction form
    491,489.94/737,499.77 = 207,377.40/x
  3. Step 3: Cross multiply
    491,489.94x = 737,499.77 × 207,377.40
  4. Step 4: Simplify right side
    491,489.94x = 152,940,783,766.31
  5. Step 5: Solve for x
    x = 152,940,783,766.31/491,489.94
  6. Step 6: Final answer
    x = 311,177.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.