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Finding the Fourth Proportional to 305,115.80, 421,218.24 and 236,980.22

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Solution

The fourth proportional to 305,115.80, 421,218.24 and 236,980.22 is: 327,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,115.80 : 421,218.24 = 236,980.22 : x
  2. Step 2: Convert to fraction form
    305,115.80/421,218.24 = 236,980.22/x
  3. Step 3: Cross multiply
    305,115.80x = 421,218.24 × 236,980.22
  4. Step 4: Simplify right side
    305,115.80x = 99,820,391,183.21
  5. Step 5: Solve for x
    x = 99,820,391,183.21/305,115.80
  6. Step 6: Final answer
    x = 327,155.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.