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Finding the Fourth Proportional to 521,190.89, 781,794.57 and 205,645.07

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Solution

The fourth proportional to 521,190.89, 781,794.57 and 205,645.07 is: 308,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,190.89 : 781,794.57 = 205,645.07 : x
  2. Step 2: Convert to fraction form
    521,190.89/781,794.57 = 205,645.07/x
  3. Step 3: Cross multiply
    521,190.89x = 781,794.57 × 205,645.07
  4. Step 4: Simplify right side
    521,190.89x = 160,772,199,073.27
  5. Step 5: Solve for x
    x = 160,772,199,073.27/521,190.89
  6. Step 6: Final answer
    x = 308,470.85

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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.