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Finding the Fourth Proportional to 330,071.97, 455,506.56 and 201,016.49

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Solution

The fourth proportional to 330,071.97, 455,506.56 and 201,016.49 is: 277,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,071.97 : 455,506.56 = 201,016.49 : x
  2. Step 2: Convert to fraction form
    330,071.97/455,506.56 = 201,016.49/x
  3. Step 3: Cross multiply
    330,071.97x = 455,506.56 × 201,016.49
  4. Step 4: Simplify right side
    330,071.97x = 91,564,331,001.94
  5. Step 5: Solve for x
    x = 91,564,331,001.94/330,071.97
  6. Step 6: Final answer
    x = 277,407.17

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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.