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Finding the Fourth Proportional to 362,138.90, 542,992.35 and 221,998.10

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Solution

The fourth proportional to 362,138.90, 542,992.35 and 221,998.10 is: 332,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,138.90 : 542,992.35 = 221,998.10 : x
  2. Step 2: Convert to fraction form
    362,138.90/542,992.35 = 221,998.10/x
  3. Step 3: Cross multiply
    362,138.90x = 542,992.35 × 221,998.10
  4. Step 4: Simplify right side
    362,138.90x = 120,543,270,014.54
  5. Step 5: Solve for x
    x = 120,543,270,014.54/362,138.90
  6. Step 6: Final answer
    x = 332,864.74

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1.5x scale

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.