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Finding the Fourth Proportional to 266,669.20, 400,464.60 and 142,253.20

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Solution

The fourth proportional to 266,669.20, 400,464.60 and 142,253.20 is: 213,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,669.20 : 400,464.60 = 142,253.20 : x
  2. Step 2: Convert to fraction form
    266,669.20/400,464.60 = 142,253.20/x
  3. Step 3: Cross multiply
    266,669.20x = 400,464.60 × 142,253.20
  4. Step 4: Simplify right side
    266,669.20x = 56,967,370,836.72
  5. Step 5: Solve for x
    x = 56,967,370,836.72/266,669.20
  6. Step 6: Final answer
    x = 213,625.61

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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.