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Finding the Fourth Proportional to 305,359, 421,395.42 and 171,223

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Solution

The fourth proportional to 305,359, 421,395.42 and 171,223 is: 236,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,359 : 421,395.42 = 171,223 : x
  2. Step 2: Convert to fraction form
    305,359/421,395.42 = 171,223/x
  3. Step 3: Cross multiply
    305,359x = 421,395.42 × 171,223
  4. Step 4: Simplify right side
    305,359x = 72,152,587,998.66
  5. Step 5: Solve for x
    x = 72,152,587,998.66/305,359
  6. Step 6: Final answer
    x = 236,287.74

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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.