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Finding the Fourth Proportional to 568,469.38, 784,490.25 and 313,822.66

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Solution

The fourth proportional to 568,469.38, 784,490.25 and 313,822.66 is: 433,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,469.38 : 784,490.25 = 313,822.66 : x
  2. Step 2: Convert to fraction form
    568,469.38/784,490.25 = 313,822.66/x
  3. Step 3: Cross multiply
    568,469.38x = 784,490.25 × 313,822.66
  4. Step 4: Simplify right side
    568,469.38x = 246,190,816,999.07
  5. Step 5: Solve for x
    x = 246,190,816,999.07/568,469.38
  6. Step 6: Final answer
    x = 433,076.65

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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.