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Finding the Fourth Proportional to 266,874.60, 400,277.34 and 100,641

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Solution

The fourth proportional to 266,874.60, 400,277.34 and 100,641 is: 150,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,874.60 : 400,277.34 = 100,641 : x
  2. Step 2: Convert to fraction form
    266,874.60/400,277.34 = 100,641/x
  3. Step 3: Cross multiply
    266,874.60x = 400,277.34 × 100,641
  4. Step 4: Simplify right side
    266,874.60x = 40,284,311,774.94
  5. Step 5: Solve for x
    x = 40,284,311,774.94/266,874.60
  6. Step 6: Final answer
    x = 150,948.47

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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.