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Finding the Fourth Proportional to 201,869.76, 303,072.48 and 172,476.48

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Solution

The fourth proportional to 201,869.76, 303,072.48 and 172,476.48 is: 258,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869.76 : 303,072.48 = 172,476.48 : x
  2. Step 2: Convert to fraction form
    201,869.76/303,072.48 = 172,476.48/x
  3. Step 3: Cross multiply
    201,869.76x = 303,072.48 × 172,476.48
  4. Step 4: Simplify right side
    201,869.76x = 52,272,874,535.27
  5. Step 5: Solve for x
    x = 52,272,874,535.27/201,869.76
  6. Step 6: Final answer
    x = 258,943.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.