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Finding the Fourth Proportional to 380,997.80, 571,096.64 and 128,190.52

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Solution

The fourth proportional to 380,997.80, 571,096.64 and 128,190.52 is: 192,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,997.80 : 571,096.64 = 128,190.52 : x
  2. Step 2: Convert to fraction form
    380,997.80/571,096.64 = 128,190.52/x
  3. Step 3: Cross multiply
    380,997.80x = 571,096.64 × 128,190.52
  4. Step 4: Simplify right side
    380,997.80x = 73,209,175,251.85
  5. Step 5: Solve for x
    x = 73,209,175,251.85/380,997.80
  6. Step 6: Final answer
    x = 192,151.18

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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.