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Finding the Fourth Proportional to 568,447.64, 784,457.88 and 313,799

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Solution

The fourth proportional to 568,447.64, 784,457.88 and 313,799 is: 433,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,447.64 : 784,457.88 = 313,799 : x
  2. Step 2: Convert to fraction form
    568,447.64/784,457.88 = 313,799/x
  3. Step 3: Cross multiply
    568,447.64x = 784,457.88 × 313,799
  4. Step 4: Simplify right side
    568,447.64x = 246,162,098,286.12
  5. Step 5: Solve for x
    x = 246,162,098,286.12/568,447.64
  6. Step 6: Final answer
    x = 433,042.70

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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.