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Finding the Fourth Proportional to 393,715.31, 590,667.03 and 127,476.11

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Solution

The fourth proportional to 393,715.31, 590,667.03 and 127,476.11 is: 191,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,715.31 : 590,667.03 = 127,476.11 : x
  2. Step 2: Convert to fraction form
    393,715.31/590,667.03 = 127,476.11/x
  3. Step 3: Cross multiply
    393,715.31x = 590,667.03 × 127,476.11
  4. Step 4: Simplify right side
    393,715.31x = 75,295,936,766.32
  5. Step 5: Solve for x
    x = 75,295,936,766.32/393,715.31
  6. Step 6: Final answer
    x = 191,244.63

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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.