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Finding the Fourth Proportional to 305,640.42, 421,849.80 and 233,231.46

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Solution

The fourth proportional to 305,640.42, 421,849.80 and 233,231.46 is: 321,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,640.42 : 421,849.80 = 233,231.46 : x
  2. Step 2: Convert to fraction form
    305,640.42/421,849.80 = 233,231.46/x
  3. Step 3: Cross multiply
    305,640.42x = 421,849.80 × 233,231.46
  4. Step 4: Simplify right side
    305,640.42x = 98,388,644,754.71
  5. Step 5: Solve for x
    x = 98,388,644,754.71/305,640.42
  6. Step 6: Final answer
    x = 321,909.79

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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.