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Finding the Fourth Proportional to 568,340.28, 784,304.57 and 313,686

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Solution

The fourth proportional to 568,340.28, 784,304.57 and 313,686 is: 432,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,340.28 : 784,304.57 = 313,686 : x
  2. Step 2: Convert to fraction form
    568,340.28/784,304.57 = 313,686/x
  3. Step 3: Cross multiply
    568,340.28x = 784,304.57 × 313,686
  4. Step 4: Simplify right side
    568,340.28x = 246,025,364,129.24
  5. Step 5: Solve for x
    x = 246,025,364,129.24/568,340.28
  6. Step 6: Final answer
    x = 432,883.91

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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.