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Finding the Fourth Proportional to 393,047.80, 542,319.30 and 250,018

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Solution

The fourth proportional to 393,047.80, 542,319.30 and 250,018 is: 344,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,047.80 : 542,319.30 = 250,018 : x
  2. Step 2: Convert to fraction form
    393,047.80/542,319.30 = 250,018/x
  3. Step 3: Cross multiply
    393,047.80x = 542,319.30 × 250,018
  4. Step 4: Simplify right side
    393,047.80x = 135,589,586,747.40
  5. Step 5: Solve for x
    x = 135,589,586,747.40/393,047.80
  6. Step 6: Final answer
    x = 344,969.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.