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Finding the Fourth Proportional to 381,444.88, 571,984.80 and 141,394

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Solution

The fourth proportional to 381,444.88, 571,984.80 and 141,394 is: 212,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,444.88 : 571,984.80 = 141,394 : x
  2. Step 2: Convert to fraction form
    381,444.88/571,984.80 = 141,394/x
  3. Step 3: Cross multiply
    381,444.88x = 571,984.80 × 141,394
  4. Step 4: Simplify right side
    381,444.88x = 80,875,218,811.20
  5. Step 5: Solve for x
    x = 80,875,218,811.20/381,444.88
  6. Step 6: Final answer
    x = 212,023.34

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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.