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Finding the Fourth Proportional to 397,148.20, 595,722.30 and 261,845.80

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Solution

The fourth proportional to 397,148.20, 595,722.30 and 261,845.80 is: 392,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,148.20 : 595,722.30 = 261,845.80 : x
  2. Step 2: Convert to fraction form
    397,148.20/595,722.30 = 261,845.80/x
  3. Step 3: Cross multiply
    397,148.20x = 595,722.30 × 261,845.80
  4. Step 4: Simplify right side
    397,148.20x = 155,987,382,221.34
  5. Step 5: Solve for x
    x = 155,987,382,221.34/397,148.20
  6. Step 6: Final answer
    x = 392,768.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.