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Finding the Fourth Proportional to 362,342.98, 542,922.60 and 220,231.72

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Solution

The fourth proportional to 362,342.98, 542,922.60 and 220,231.72 is: 329,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,342.98 : 542,922.60 = 220,231.72 : x
  2. Step 2: Convert to fraction form
    362,342.98/542,922.60 = 220,231.72/x
  3. Step 3: Cross multiply
    362,342.98x = 542,922.60 × 220,231.72
  4. Step 4: Simplify right side
    362,342.98x = 119,568,778,024.87
  5. Step 5: Solve for x
    x = 119,568,778,024.87/362,342.98
  6. Step 6: Final answer
    x = 329,987.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.