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Finding the Fourth Proportional to 568,508.28, 784,536.66 and 313,854

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Solution

The fourth proportional to 568,508.28, 784,536.66 and 313,854 is: 433,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,508.28 : 784,536.66 = 313,854 : x
  2. Step 2: Convert to fraction form
    568,508.28/784,536.66 = 313,854/x
  3. Step 3: Cross multiply
    568,508.28x = 784,536.66 × 313,854
  4. Step 4: Simplify right side
    568,508.28x = 246,229,968,887.64
  5. Step 5: Solve for x
    x = 246,229,968,887.64/568,508.28
  6. Step 6: Final answer
    x = 433,115.89

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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.