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Finding the Fourth Proportional to 393,489.82, 590,232.54 and 340,019.21

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Solution

The fourth proportional to 393,489.82, 590,232.54 and 340,019.21 is: 510,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,489.82 : 590,232.54 = 340,019.21 : x
  2. Step 2: Convert to fraction form
    393,489.82/590,232.54 = 340,019.21/x
  3. Step 3: Cross multiply
    393,489.82x = 590,232.54 × 340,019.21
  4. Step 4: Simplify right side
    393,489.82x = 200,690,399,015.93
  5. Step 5: Solve for x
    x = 200,690,399,015.93/393,489.82
  6. Step 6: Final answer
    x = 510,026.92

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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.