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Finding the Fourth Proportional to 305,318.58, 421,390.09 and 169,396.32

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Solution

The fourth proportional to 305,318.58, 421,390.09 and 169,396.32 is: 233,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,318.58 : 421,390.09 = 169,396.32 : x
  2. Step 2: Convert to fraction form
    305,318.58/421,390.09 = 169,396.32/x
  3. Step 3: Cross multiply
    305,318.58x = 421,390.09 × 169,396.32
  4. Step 4: Simplify right side
    305,318.58x = 71,381,930,530.47
  5. Step 5: Solve for x
    x = 71,381,930,530.47/305,318.58
  6. Step 6: Final answer
    x = 233,794.91

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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.