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Finding the Fourth Proportional to 266,866.60, 400,265.34 and 100,633

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Solution

The fourth proportional to 266,866.60, 400,265.34 and 100,633 is: 150,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,866.60 : 400,265.34 = 100,633 : x
  2. Step 2: Convert to fraction form
    266,866.60/400,265.34 = 100,633/x
  3. Step 3: Cross multiply
    266,866.60x = 400,265.34 × 100,633
  4. Step 4: Simplify right side
    266,866.60x = 40,279,901,960.22
  5. Step 5: Solve for x
    x = 40,279,901,960.22/266,866.60
  6. Step 6: Final answer
    x = 150,936.47

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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.