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Finding the Fourth Proportional to 521,188.89, 781,791.57 and 205,643.07

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Solution

The fourth proportional to 521,188.89, 781,791.57 and 205,643.07 is: 308,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,188.89 : 781,791.57 = 205,643.07 : x
  2. Step 2: Convert to fraction form
    521,188.89/781,791.57 = 205,643.07/x
  3. Step 3: Cross multiply
    521,188.89x = 781,791.57 × 205,643.07
  4. Step 4: Simplify right side
    521,188.89x = 160,770,018,554.92
  5. Step 5: Solve for x
    x = 160,770,018,554.92/521,188.89
  6. Step 6: Final answer
    x = 308,467.85

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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.