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Finding the Fourth Proportional to 275,981.60, 413,972.40 and 181,503.20

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Solution

The fourth proportional to 275,981.60, 413,972.40 and 181,503.20 is: 272,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,981.60 : 413,972.40 = 181,503.20 : x
  2. Step 2: Convert to fraction form
    275,981.60/413,972.40 = 181,503.20/x
  3. Step 3: Cross multiply
    275,981.60x = 413,972.40 × 181,503.20
  4. Step 4: Simplify right side
    275,981.60x = 75,137,315,311.68
  5. Step 5: Solve for x
    x = 75,137,315,311.68/275,981.60
  6. Step 6: Final answer
    x = 272,254.80

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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.