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Finding the Fourth Proportional to 305,154.42, 421,112.94 and 169,188

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Solution

The fourth proportional to 305,154.42, 421,112.94 and 169,188 is: 233,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,154.42 : 421,112.94 = 169,188 : x
  2. Step 2: Convert to fraction form
    305,154.42/421,112.94 = 169,188/x
  3. Step 3: Cross multiply
    305,154.42x = 421,112.94 × 169,188
  4. Step 4: Simplify right side
    305,154.42x = 71,247,256,092.72
  5. Step 5: Solve for x
    x = 71,247,256,092.72/305,154.42
  6. Step 6: Final answer
    x = 233,479.35

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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.