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Finding the Fourth Proportional to 481,233.40, 721,947.30 and 165,722.20

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Solution

The fourth proportional to 481,233.40, 721,947.30 and 165,722.20 is: 248,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,233.40 : 721,947.30 = 165,722.20 : x
  2. Step 2: Convert to fraction form
    481,233.40/721,947.30 = 165,722.20/x
  3. Step 3: Cross multiply
    481,233.40x = 721,947.30 × 165,722.20
  4. Step 4: Simplify right side
    481,233.40x = 119,642,694,840.06
  5. Step 5: Solve for x
    x = 119,642,694,840.06/481,233.40
  6. Step 6: Final answer
    x = 248,616.77

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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.