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Finding the Fourth Proportional to 498,257.52, 687,596.76 and 297,049.20

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Solution

The fourth proportional to 498,257.52, 687,596.76 and 297,049.20 is: 409,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,257.52 : 687,596.76 = 297,049.20 : x
  2. Step 2: Convert to fraction form
    498,257.52/687,596.76 = 297,049.20/x
  3. Step 3: Cross multiply
    498,257.52x = 687,596.76 × 297,049.20
  4. Step 4: Simplify right side
    498,257.52x = 204,250,067,480.59
  5. Step 5: Solve for x
    x = 204,250,067,480.59/498,257.52
  6. Step 6: Final answer
    x = 409,928.72

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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.