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Finding the Fourth Proportional to 393,065.80, 542,370.05 and 220,951.87

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Solution

The fourth proportional to 393,065.80, 542,370.05 and 220,951.87 is: 304,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,065.80 : 542,370.05 = 220,951.87 : x
  2. Step 2: Convert to fraction form
    393,065.80/542,370.05 = 220,951.87/x
  3. Step 3: Cross multiply
    393,065.80x = 542,370.05 × 220,951.87
  4. Step 4: Simplify right side
    393,065.80x = 119,837,674,620.02
  5. Step 5: Solve for x
    x = 119,837,674,620.02/393,065.80
  6. Step 6: Final answer
    x = 304,879.43

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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.