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Finding the Fourth Proportional to 215,530.40, 323,441.40 and 120,760.40

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Solution

The fourth proportional to 215,530.40, 323,441.40 and 120,760.40 is: 181,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,530.40 : 323,441.40 = 120,760.40 : x
  2. Step 2: Convert to fraction form
    215,530.40/323,441.40 = 120,760.40/x
  3. Step 3: Cross multiply
    215,530.40x = 323,441.40 × 120,760.40
  4. Step 4: Simplify right side
    215,530.40x = 39,058,912,840.56
  5. Step 5: Solve for x
    x = 39,058,912,840.56/215,530.40
  6. Step 6: Final answer
    x = 181,222.29

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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.