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Finding the Fourth Proportional to 431,416.80, 647,125.20 and 195,220.80

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Solution

The fourth proportional to 431,416.80, 647,125.20 and 195,220.80 is: 292,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,416.80 : 647,125.20 = 195,220.80 : x
  2. Step 2: Convert to fraction form
    431,416.80/647,125.20 = 195,220.80/x
  3. Step 3: Cross multiply
    431,416.80x = 647,125.20 × 195,220.80
  4. Step 4: Simplify right side
    431,416.80x = 126,332,299,244.16
  5. Step 5: Solve for x
    x = 126,332,299,244.16/431,416.80
  6. Step 6: Final answer
    x = 292,831.20

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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.