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Finding the Fourth Proportional to 276,975.80, 415,463.70 and 171,452.60

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Solution

The fourth proportional to 276,975.80, 415,463.70 and 171,452.60 is: 257,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,975.80 : 415,463.70 = 171,452.60 : x
  2. Step 2: Convert to fraction form
    276,975.80/415,463.70 = 171,452.60/x
  3. Step 3: Cross multiply
    276,975.80x = 415,463.70 × 171,452.60
  4. Step 4: Simplify right side
    276,975.80x = 71,232,331,570.62
  5. Step 5: Solve for x
    x = 71,232,331,570.62/276,975.80
  6. Step 6: Final answer
    x = 257,178.90

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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.