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Finding the Fourth Proportional to 305,286.19, 421,320.11 and 169,363.89

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Solution

The fourth proportional to 305,286.19, 421,320.11 and 169,363.89 is: 233,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,286.19 : 421,320.11 = 169,363.89 : x
  2. Step 2: Convert to fraction form
    305,286.19/421,320.11 = 169,363.89/x
  3. Step 3: Cross multiply
    305,286.19x = 421,320.11 × 169,363.89
  4. Step 4: Simplify right side
    305,286.19x = 71,356,412,764.83
  5. Step 5: Solve for x
    x = 71,356,412,764.83/305,286.19
  6. Step 6: Final answer
    x = 233,736.13

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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.