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Finding the Fourth Proportional to 503,257.24, 694,514.10 and 288,438.76

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Solution

The fourth proportional to 503,257.24, 694,514.10 and 288,438.76 is: 398,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,257.24 : 694,514.10 = 288,438.76 : x
  2. Step 2: Convert to fraction form
    503,257.24/694,514.10 = 288,438.76/x
  3. Step 3: Cross multiply
    503,257.24x = 694,514.10 × 288,438.76
  4. Step 4: Simplify right side
    503,257.24x = 200,324,785,806.52
  5. Step 5: Solve for x
    x = 200,324,785,806.52/503,257.24
  6. Step 6: Final answer
    x = 398,056.44

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Double scale
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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.