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Finding the Fourth Proportional to 474,687.20, 712,292.88 and 194,400.80

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Solution

The fourth proportional to 474,687.20, 712,292.88 and 194,400.80 is: 291,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,687.20 : 712,292.88 = 194,400.80 : x
  2. Step 2: Convert to fraction form
    474,687.20/712,292.88 = 194,400.80/x
  3. Step 3: Cross multiply
    474,687.20x = 712,292.88 × 194,400.80
  4. Step 4: Simplify right side
    474,687.20x = 138,470,305,706.30
  5. Step 5: Solve for x
    x = 138,470,305,706.30/474,687.20
  6. Step 6: Final answer
    x = 291,708.53

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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.