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Finding the Fourth Proportional to 381,754.98, 572,505.30 and 153,991.78

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Solution

The fourth proportional to 381,754.98, 572,505.30 and 153,991.78 is: 230,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,754.98 : 572,505.30 = 153,991.78 : x
  2. Step 2: Convert to fraction form
    381,754.98/572,505.30 = 153,991.78/x
  3. Step 3: Cross multiply
    381,754.98x = 572,505.30 × 153,991.78
  4. Step 4: Simplify right side
    381,754.98x = 88,161,110,206.43
  5. Step 5: Solve for x
    x = 88,161,110,206.43/381,754.98
  6. Step 6: Final answer
    x = 230,936.37

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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.