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Finding the Fourth Proportional to 394,475, 544,375.50 and 215,627

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Solution

The fourth proportional to 394,475, 544,375.50 and 215,627 is: 297,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,475 : 544,375.50 = 215,627 : x
  2. Step 2: Convert to fraction form
    394,475/544,375.50 = 215,627/x
  3. Step 3: Cross multiply
    394,475x = 544,375.50 × 215,627
  4. Step 4: Simplify right side
    394,475x = 117,382,055,938.50
  5. Step 5: Solve for x
    x = 117,382,055,938.50/394,475
  6. Step 6: Final answer
    x = 297,565.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.