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Finding the Fourth Proportional to 392,840.70, 542,120.85 and 223,074.78

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Solution

The fourth proportional to 392,840.70, 542,120.85 and 223,074.78 is: 307,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,840.70 : 542,120.85 = 223,074.78 : x
  2. Step 2: Convert to fraction form
    392,840.70/542,120.85 = 223,074.78/x
  3. Step 3: Cross multiply
    392,840.70x = 542,120.85 × 223,074.78
  4. Step 4: Simplify right side
    392,840.70x = 120,933,489,347.16
  5. Step 5: Solve for x
    x = 120,933,489,347.16/392,840.70
  6. Step 6: Final answer
    x = 307,843.58

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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.