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Finding the Fourth Proportional to 393,047.87, 542,351.36 and 220,941.50

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Solution

The fourth proportional to 393,047.87, 542,351.36 and 220,941.50 is: 304,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,047.87 : 542,351.36 = 220,941.50 : x
  2. Step 2: Convert to fraction form
    393,047.87/542,351.36 = 220,941.50/x
  3. Step 3: Cross multiply
    393,047.87x = 542,351.36 × 220,941.50
  4. Step 4: Simplify right side
    393,047.87x = 119,827,920,846.04
  5. Step 5: Solve for x
    x = 119,827,920,846.04/393,047.87
  6. Step 6: Final answer
    x = 304,868.52

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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.