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Finding the Fourth Proportional to 502,694.38, 693,613.56 and 298,817.38

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Solution

The fourth proportional to 502,694.38, 693,613.56 and 298,817.38 is: 412,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,694.38 : 693,613.56 = 298,817.38 : x
  2. Step 2: Convert to fraction form
    502,694.38/693,613.56 = 298,817.38/x
  3. Step 3: Cross multiply
    502,694.38x = 693,613.56 × 298,817.38
  4. Step 4: Simplify right side
    502,694.38x = 207,263,786,731.67
  5. Step 5: Solve for x
    x = 207,263,786,731.67/502,694.38
  6. Step 6: Final answer
    x = 412,305.76

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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.