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Finding the Fourth Proportional to 568,391.48, 784,380.90 and 313,742.66

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Solution

The fourth proportional to 568,391.48, 784,380.90 and 313,742.66 is: 432,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,391.48 : 784,380.90 = 313,742.66 : x
  2. Step 2: Convert to fraction form
    568,391.48/784,380.90 = 313,742.66/x
  3. Step 3: Cross multiply
    568,391.48x = 784,380.90 × 313,742.66
  4. Step 4: Simplify right side
    568,391.48x = 246,093,748,450.48
  5. Step 5: Solve for x
    x = 246,093,748,450.48/568,391.48
  6. Step 6: Final answer
    x = 432,965.23

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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.