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Finding the Fourth Proportional to 393,715.50, 590,667.12 and 127,476.10

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Solution

The fourth proportional to 393,715.50, 590,667.12 and 127,476.10 is: 191,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,715.50 : 590,667.12 = 127,476.10 : x
  2. Step 2: Convert to fraction form
    393,715.50/590,667.12 = 127,476.10/x
  3. Step 3: Cross multiply
    393,715.50x = 590,667.12 × 127,476.10
  4. Step 4: Simplify right side
    393,715.50x = 75,295,940,855.83
  5. Step 5: Solve for x
    x = 75,295,940,855.83/393,715.50
  6. Step 6: Final answer
    x = 191,244.54

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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.