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Finding the Fourth Proportional to 381,204.30, 571,806.45 and 144,534.45

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Solution

The fourth proportional to 381,204.30, 571,806.45 and 144,534.45 is: 216,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,204.30 : 571,806.45 = 144,534.45 : x
  2. Step 2: Convert to fraction form
    381,204.30/571,806.45 = 144,534.45/x
  3. Step 3: Cross multiply
    381,204.30x = 571,806.45 × 144,534.45
  4. Step 4: Simplify right side
    381,204.30x = 82,645,730,757.20
  5. Step 5: Solve for x
    x = 82,645,730,757.20/381,204.30
  6. Step 6: Final answer
    x = 216,801.68

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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.