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Finding the Fourth Proportional to 304,954.29, 420,839.40 and 168,990.53

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Solution

The fourth proportional to 304,954.29, 420,839.40 and 168,990.53 is: 233,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,954.29 : 420,839.40 = 168,990.53 : x
  2. Step 2: Convert to fraction form
    304,954.29/420,839.40 = 168,990.53/x
  3. Step 3: Cross multiply
    304,954.29x = 420,839.40 × 168,990.53
  4. Step 4: Simplify right side
    304,954.29x = 71,117,871,146.69
  5. Step 5: Solve for x
    x = 71,117,871,146.69/304,954.29
  6. Step 6: Final answer
    x = 233,208.30

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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.