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Finding the Fourth Proportional to 393,662.05, 590,586.78 and 127,422.54

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Solution

The fourth proportional to 393,662.05, 590,586.78 and 127,422.54 is: 191,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,662.05 : 590,586.78 = 127,422.54 : x
  2. Step 2: Convert to fraction form
    393,662.05/590,586.78 = 127,422.54/x
  3. Step 3: Cross multiply
    393,662.05x = 590,586.78 × 127,422.54
  4. Step 4: Simplify right side
    393,662.05x = 75,254,067,598.02
  5. Step 5: Solve for x
    x = 75,254,067,598.02/393,662.05
  6. Step 6: Final answer
    x = 191,164.14

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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.