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Finding the Fourth Proportional to 427,608.75, 642,243.51 and 314,843.61

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Solution

The fourth proportional to 427,608.75, 642,243.51 and 314,843.61 is: 472,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,608.75 : 642,243.51 = 314,843.61 : x
  2. Step 2: Convert to fraction form
    427,608.75/642,243.51 = 314,843.61/x
  3. Step 3: Cross multiply
    427,608.75x = 642,243.51 × 314,843.61
  4. Step 4: Simplify right side
    427,608.75x = 202,206,265,187.47
  5. Step 5: Solve for x
    x = 202,206,265,187.47/427,608.75
  6. Step 6: Final answer
    x = 472,876.82

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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.