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Finding the Fourth Proportional to 276,871.60, 415,307.40 and 274,247.20

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Solution

The fourth proportional to 276,871.60, 415,307.40 and 274,247.20 is: 411,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,871.60 : 415,307.40 = 274,247.20 : x
  2. Step 2: Convert to fraction form
    276,871.60/415,307.40 = 274,247.20/x
  3. Step 3: Cross multiply
    276,871.60x = 415,307.40 × 274,247.20
  4. Step 4: Simplify right side
    276,871.60x = 113,896,891,589.28
  5. Step 5: Solve for x
    x = 113,896,891,589.28/276,871.60
  6. Step 6: Final answer
    x = 411,370.80

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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.