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Finding the Fourth Proportional to 543,207.20, 814,227.60 and 206,117.60

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Solution

The fourth proportional to 543,207.20, 814,227.60 and 206,117.60 is: 308,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,207.20 : 814,227.60 = 206,117.60 : x
  2. Step 2: Convert to fraction form
    543,207.20/814,227.60 = 206,117.60/x
  3. Step 3: Cross multiply
    543,207.20x = 814,227.60 × 206,117.60
  4. Step 4: Simplify right side
    543,207.20x = 167,826,638,765.76
  5. Step 5: Solve for x
    x = 167,826,638,765.76/543,207.20
  6. Step 6: Final answer
    x = 308,955.11

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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.