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Finding the Fourth Proportional to 331,410.80, 497,116.20 and 144,786.80

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Solution

The fourth proportional to 331,410.80, 497,116.20 and 144,786.80 is: 217,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,410.80 : 497,116.20 = 144,786.80 : x
  2. Step 2: Convert to fraction form
    331,410.80/497,116.20 = 144,786.80/x
  3. Step 3: Cross multiply
    331,410.80x = 497,116.20 × 144,786.80
  4. Step 4: Simplify right side
    331,410.80x = 71,975,863,826.16
  5. Step 5: Solve for x
    x = 71,975,863,826.16/331,410.80
  6. Step 6: Final answer
    x = 217,180.20

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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.