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Finding the Fourth Proportional to 305,270.22, 421,298.78 and 169,347.97

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Solution

The fourth proportional to 305,270.22, 421,298.78 and 169,347.97 is: 233,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,270.22 : 421,298.78 = 169,347.97 : x
  2. Step 2: Convert to fraction form
    305,270.22/421,298.78 = 169,347.97/x
  3. Step 3: Cross multiply
    305,270.22x = 421,298.78 × 169,347.97
  4. Step 4: Simplify right side
    305,270.22x = 71,346,093,156.48
  5. Step 5: Solve for x
    x = 71,346,093,156.48/305,270.22
  6. Step 6: Final answer
    x = 233,714.55

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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.