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Finding the Fourth Proportional to 305,034.73, 420,973.11 and 169,111.30

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Solution

The fourth proportional to 305,034.73, 420,973.11 and 169,111.30 is: 233,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,034.73 : 420,973.11 = 169,111.30 : x
  2. Step 2: Convert to fraction form
    305,034.73/420,973.11 = 169,111.30/x
  3. Step 3: Cross multiply
    305,034.73x = 420,973.11 × 169,111.30
  4. Step 4: Simplify right side
    305,034.73x = 71,191,309,897.14
  5. Step 5: Solve for x
    x = 71,191,309,897.14/305,034.73
  6. Step 6: Final answer
    x = 233,387.56

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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.