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Finding the Fourth Proportional to 381,309.12, 571,419.36 and 194,451.84

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Solution

The fourth proportional to 381,309.12, 571,419.36 and 194,451.84 is: 291,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,309.12 : 571,419.36 = 194,451.84 : x
  2. Step 2: Convert to fraction form
    381,309.12/571,419.36 = 194,451.84/x
  3. Step 3: Cross multiply
    381,309.12x = 571,419.36 × 194,451.84
  4. Step 4: Simplify right side
    381,309.12x = 111,113,545,963.62
  5. Step 5: Solve for x
    x = 111,113,545,963.62/381,309.12
  6. Step 6: Final answer
    x = 291,400.18

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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.