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Finding the Fourth Proportional to 220,835.80, 330,864.90 and 181,178.20

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Solution

The fourth proportional to 220,835.80, 330,864.90 and 181,178.20 is: 271,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835.80 : 330,864.90 = 181,178.20 : x
  2. Step 2: Convert to fraction form
    220,835.80/330,864.90 = 181,178.20/x
  3. Step 3: Cross multiply
    220,835.80x = 330,864.90 × 181,178.20
  4. Step 4: Simplify right side
    220,835.80x = 59,945,507,025.18
  5. Step 5: Solve for x
    x = 59,945,507,025.18/220,835.80
  6. Step 6: Final answer
    x = 271,448.32

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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.