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Finding the Fourth Proportional to 302,954.18, 418,001.31 and 195,394.78

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Solution

The fourth proportional to 302,954.18, 418,001.31 and 195,394.78 is: 269,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,954.18 : 418,001.31 = 195,394.78 : x
  2. Step 2: Convert to fraction form
    302,954.18/418,001.31 = 195,394.78/x
  3. Step 3: Cross multiply
    302,954.18x = 418,001.31 × 195,394.78
  4. Step 4: Simplify right side
    302,954.18x = 81,675,274,529.66
  5. Step 5: Solve for x
    x = 81,675,274,529.66/302,954.18
  6. Step 6: Final answer
    x = 269,596.13

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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.