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Finding the Fourth Proportional to 431,353.80, 647,030.70 and 398,876.85

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Solution

The fourth proportional to 431,353.80, 647,030.70 and 398,876.85 is: 598,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,353.80 : 647,030.70 = 398,876.85 : x
  2. Step 2: Convert to fraction form
    431,353.80/647,030.70 = 398,876.85/x
  3. Step 3: Cross multiply
    431,353.80x = 647,030.70 × 398,876.85
  4. Step 4: Simplify right side
    431,353.80x = 258,085,567,469.30
  5. Step 5: Solve for x
    x = 258,085,567,469.30/431,353.80
  6. Step 6: Final answer
    x = 598,315.28

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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.