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Finding the Fourth Proportional to 393,708.28, 590,656.47 and 127,469.07

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Solution

The fourth proportional to 393,708.28, 590,656.47 and 127,469.07 is: 191,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,708.28 : 590,656.47 = 127,469.07 : x
  2. Step 2: Convert to fraction form
    393,708.28/590,656.47 = 127,469.07/x
  3. Step 3: Cross multiply
    393,708.28x = 590,656.47 × 127,469.07
  4. Step 4: Simplify right side
    393,708.28x = 75,290,430,920.38
  5. Step 5: Solve for x
    x = 75,290,430,920.38/393,708.28
  6. Step 6: Final answer
    x = 191,234.06

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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.