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Finding the Fourth Proportional to 276,418.60, 415,065.30 and 209,933.80

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Solution

The fourth proportional to 276,418.60, 415,065.30 and 209,933.80 is: 315,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,418.60 : 415,065.30 = 209,933.80 : x
  2. Step 2: Convert to fraction form
    276,418.60/415,065.30 = 209,933.80/x
  3. Step 3: Cross multiply
    276,418.60x = 415,065.30 × 209,933.80
  4. Step 4: Simplify right side
    276,418.60x = 87,136,235,677.14
  5. Step 5: Solve for x
    x = 87,136,235,677.14/276,418.60
  6. Step 6: Final answer
    x = 315,232.90

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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.