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Finding the Fourth Proportional to 521,131.67, 781,728.49 and 201,285.96

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Solution

The fourth proportional to 521,131.67, 781,728.49 and 201,285.96 is: 301,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,131.67 : 781,728.49 = 201,285.96 : x
  2. Step 2: Convert to fraction form
    521,131.67/781,728.49 = 201,285.96/x
  3. Step 3: Cross multiply
    521,131.67x = 781,728.49 × 201,285.96
  4. Step 4: Simplify right side
    521,131.67x = 157,350,969,569.00
  5. Step 5: Solve for x
    x = 157,350,969,569.00/521,131.67
  6. Step 6: Final answer
    x = 301,940.91

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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.