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Finding the Fourth Proportional to 275,999.20, 413,960.40 and 89,029.60

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Solution

The fourth proportional to 275,999.20, 413,960.40 and 89,029.60 is: 133,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,999.20 : 413,960.40 = 89,029.60 : x
  2. Step 2: Convert to fraction form
    275,999.20/413,960.40 = 89,029.60/x
  3. Step 3: Cross multiply
    275,999.20x = 413,960.40 × 89,029.60
  4. Step 4: Simplify right side
    275,999.20x = 36,854,728,827.84
  5. Step 5: Solve for x
    x = 36,854,728,827.84/275,999.20
  6. Step 6: Final answer
    x = 133,532.01

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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.