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Finding the Fourth Proportional to 542,947.48, 813,937.28 and 206,224.60

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Solution

The fourth proportional to 542,947.48, 813,937.28 and 206,224.60 is: 309,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,947.48 : 813,937.28 = 206,224.60 : x
  2. Step 2: Convert to fraction form
    542,947.48/813,937.28 = 206,224.60/x
  3. Step 3: Cross multiply
    542,947.48x = 813,937.28 × 206,224.60
  4. Step 4: Simplify right side
    542,947.48x = 167,853,888,453.25
  5. Step 5: Solve for x
    x = 167,853,888,453.25/542,947.48
  6. Step 6: Final answer
    x = 309,153.08

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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.