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Finding the Fourth Proportional to 519,742, 717,243.96 and 281,278

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Solution

The fourth proportional to 519,742, 717,243.96 and 281,278 is: 388,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,742 : 717,243.96 = 281,278 : x
  2. Step 2: Convert to fraction form
    519,742/717,243.96 = 281,278/x
  3. Step 3: Cross multiply
    519,742x = 717,243.96 × 281,278
  4. Step 4: Simplify right side
    519,742x = 201,744,946,580.88
  5. Step 5: Solve for x
    x = 201,744,946,580.88/519,742
  6. Step 6: Final answer
    x = 388,163.64

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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.