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Finding the Fourth Proportional to 393,273.85, 542,650.84 and 221,147.23

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Solution

The fourth proportional to 393,273.85, 542,650.84 and 221,147.23 is: 305,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,273.85 : 542,650.84 = 221,147.23 : x
  2. Step 2: Convert to fraction form
    393,273.85/542,650.84 = 221,147.23/x
  3. Step 3: Cross multiply
    393,273.85x = 542,650.84 × 221,147.23
  4. Step 4: Simplify right side
    393,273.85x = 120,005,730,123.17
  5. Step 5: Solve for x
    x = 120,005,730,123.17/393,273.85
  6. Step 6: Final answer
    x = 305,145.46

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1.5x scale

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.