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Finding the Fourth Proportional to 381,047.42, 571,571.26 and 141,243.78

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Solution

The fourth proportional to 381,047.42, 571,571.26 and 141,243.78 is: 211,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,047.42 : 571,571.26 = 141,243.78 : x
  2. Step 2: Convert to fraction form
    381,047.42/571,571.26 = 141,243.78/x
  3. Step 3: Cross multiply
    381,047.42x = 571,571.26 × 141,243.78
  4. Step 4: Simplify right side
    381,047.42x = 80,730,885,301.76
  5. Step 5: Solve for x
    x = 80,730,885,301.76/381,047.42
  6. Step 6: Final answer
    x = 211,865.72

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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.