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Finding the Fourth Proportional to 568,351.38, 784,269 and 313,686.18

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Solution

The fourth proportional to 568,351.38, 784,269 and 313,686.18 is: 432,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,351.38 : 784,269 = 313,686.18 : x
  2. Step 2: Convert to fraction form
    568,351.38/784,269 = 313,686.18/x
  3. Step 3: Cross multiply
    568,351.38x = 784,269 × 313,686.18
  4. Step 4: Simplify right side
    568,351.38x = 246,014,346,702.42
  5. Step 5: Solve for x
    x = 246,014,346,702.42/568,351.38
  6. Step 6: Final answer
    x = 432,856.07

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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.