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Finding the Fourth Proportional to 266,855.60, 400,248.80 and 100,622

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Solution

The fourth proportional to 266,855.60, 400,248.80 and 100,622 is: 150,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,855.60 : 400,248.80 = 100,622 : x
  2. Step 2: Convert to fraction form
    266,855.60/400,248.80 = 100,622/x
  3. Step 3: Cross multiply
    266,855.60x = 400,248.80 × 100,622
  4. Step 4: Simplify right side
    266,855.60x = 40,273,834,753.60
  5. Step 5: Solve for x
    x = 40,273,834,753.60/266,855.60
  6. Step 6: Final answer
    x = 150,919.95

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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.