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Finding the Fourth Proportional to 520,181, 717,849.78 and 281,717

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Solution

The fourth proportional to 520,181, 717,849.78 and 281,717 is: 388,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,181 : 717,849.78 = 281,717 : x
  2. Step 2: Convert to fraction form
    520,181/717,849.78 = 281,717/x
  3. Step 3: Cross multiply
    520,181x = 717,849.78 × 281,717
  4. Step 4: Simplify right side
    520,181x = 202,230,486,472.26
  5. Step 5: Solve for x
    x = 202,230,486,472.26/520,181
  6. Step 6: Final answer
    x = 388,769.46

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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.