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Finding the Fourth Proportional to 393,519.25, 590,403.35 and 140,794.12

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Solution

The fourth proportional to 393,519.25, 590,403.35 and 140,794.12 is: 211,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,519.25 : 590,403.35 = 140,794.12 : x
  2. Step 2: Convert to fraction form
    393,519.25/590,403.35 = 140,794.12/x
  3. Step 3: Cross multiply
    393,519.25x = 590,403.35 × 140,794.12
  4. Step 4: Simplify right side
    393,519.25x = 83,125,320,108.30
  5. Step 5: Solve for x
    x = 83,125,320,108.30/393,519.25
  6. Step 6: Final answer
    x = 211,235.71

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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.