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Finding the Fourth Proportional to 632,168.50, 872,393.34 and 345,687.70

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Solution

The fourth proportional to 632,168.50, 872,393.34 and 345,687.70 is: 477,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,168.50 : 872,393.34 = 345,687.70 : x
  2. Step 2: Convert to fraction form
    632,168.50/872,393.34 = 345,687.70/x
  3. Step 3: Cross multiply
    632,168.50x = 872,393.34 × 345,687.70
  4. Step 4: Simplify right side
    632,168.50x = 301,575,647,199.92
  5. Step 5: Solve for x
    x = 301,575,647,199.92/632,168.50
  6. Step 6: Final answer
    x = 477,049.47

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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.