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Finding the Fourth Proportional to 305,712.86, 421,884.56 and 169,747.06

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Solution

The fourth proportional to 305,712.86, 421,884.56 and 169,747.06 is: 234,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,712.86 : 421,884.56 = 169,747.06 : x
  2. Step 2: Convert to fraction form
    305,712.86/421,884.56 = 169,747.06/x
  3. Step 3: Cross multiply
    305,712.86x = 421,884.56 × 169,747.06
  4. Step 4: Simplify right side
    305,712.86x = 71,613,663,719.39
  5. Step 5: Solve for x
    x = 71,613,663,719.39/305,712.86
  6. Step 6: Final answer
    x = 234,251.39

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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.