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Finding the Fourth Proportional to 266,665.20, 400,458.60 and 142,249.20

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Solution

The fourth proportional to 266,665.20, 400,458.60 and 142,249.20 is: 213,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,665.20 : 400,458.60 = 142,249.20 : x
  2. Step 2: Convert to fraction form
    266,665.20/400,458.60 = 142,249.20/x
  3. Step 3: Cross multiply
    266,665.20x = 400,458.60 × 142,249.20
  4. Step 4: Simplify right side
    266,665.20x = 56,964,915,483.12
  5. Step 5: Solve for x
    x = 56,964,915,483.12/266,665.20
  6. Step 6: Final answer
    x = 213,619.61

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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.