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Finding the Fourth Proportional to 305,393.27, 421,442.06 and 169,447.86

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Solution

The fourth proportional to 305,393.27, 421,442.06 and 169,447.86 is: 233,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,393.27 : 421,442.06 = 169,447.86 : x
  2. Step 2: Convert to fraction form
    305,393.27/421,442.06 = 169,447.86/x
  3. Step 3: Cross multiply
    305,393.27x = 421,442.06 × 169,447.86
  4. Step 4: Simplify right side
    305,393.27x = 71,412,454,333.75
  5. Step 5: Solve for x
    x = 71,412,454,333.75/305,393.27
  6. Step 6: Final answer
    x = 233,837.69

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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.