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Finding the Fourth Proportional to 521,189.89, 781,793.07 and 205,644.07

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Solution

The fourth proportional to 521,189.89, 781,793.07 and 205,644.07 is: 308,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,189.89 : 781,793.07 = 205,644.07 : x
  2. Step 2: Convert to fraction form
    521,189.89/781,793.07 = 205,644.07/x
  3. Step 3: Cross multiply
    521,189.89x = 781,793.07 × 205,644.07
  4. Step 4: Simplify right side
    521,189.89x = 160,771,108,812.60
  5. Step 5: Solve for x
    x = 160,771,108,812.60/521,189.89
  6. Step 6: Final answer
    x = 308,469.35

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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.