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Finding the Fourth Proportional to 381,720.28, 572,402.72 and 141,667

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Solution

The fourth proportional to 381,720.28, 572,402.72 and 141,667 is: 212,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,720.28 : 572,402.72 = 141,667 : x
  2. Step 2: Convert to fraction form
    381,720.28/572,402.72 = 141,667/x
  3. Step 3: Cross multiply
    381,720.28x = 572,402.72 × 141,667
  4. Step 4: Simplify right side
    381,720.28x = 81,090,576,134.24
  5. Step 5: Solve for x
    x = 81,090,576,134.24/381,720.28
  6. Step 6: Final answer
    x = 212,434.55

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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.