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Finding the Fourth Proportional to 519,891, 717,451.50 and 281,427

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Solution

The fourth proportional to 519,891, 717,451.50 and 281,427 is: 388,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,891 : 717,451.50 = 281,427 : x
  2. Step 2: Convert to fraction form
    519,891/717,451.50 = 281,427/x
  3. Step 3: Cross multiply
    519,891x = 717,451.50 × 281,427
  4. Step 4: Simplify right side
    519,891x = 201,910,223,290.50
  5. Step 5: Solve for x
    x = 201,910,223,290.50/519,891
  6. Step 6: Final answer
    x = 388,370.30

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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.