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Finding the Fourth Proportional to 381,399.04, 571,989.48 and 153,694

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Solution

The fourth proportional to 381,399.04, 571,989.48 and 153,694 is: 230,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,399.04 : 571,989.48 = 153,694 : x
  2. Step 2: Convert to fraction form
    381,399.04/571,989.48 = 153,694/x
  3. Step 3: Cross multiply
    381,399.04x = 571,989.48 × 153,694
  4. Step 4: Simplify right side
    381,399.04x = 87,911,351,139.12
  5. Step 5: Solve for x
    x = 87,911,351,139.12/381,399.04
  6. Step 6: Final answer
    x = 230,497.04

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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.