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Finding the Fourth Proportional to 381,195.80, 571,795.67 and 128,478.48

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Solution

The fourth proportional to 381,195.80, 571,795.67 and 128,478.48 is: 192,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,195.80 : 571,795.67 = 128,478.48 : x
  2. Step 2: Convert to fraction form
    381,195.80/571,795.67 = 128,478.48/x
  3. Step 3: Cross multiply
    381,195.80x = 571,795.67 × 128,478.48
  4. Step 4: Simplify right side
    381,195.80x = 73,463,435,833.67
  5. Step 5: Solve for x
    x = 73,463,435,833.67/381,195.80
  6. Step 6: Final answer
    x = 192,718.38

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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.