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Finding the Fourth Proportional to 393,184.88, 589,627.46 and 140,418.17

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Solution

The fourth proportional to 393,184.88, 589,627.46 and 140,418.17 is: 210,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,184.88 : 589,627.46 = 140,418.17 : x
  2. Step 2: Convert to fraction form
    393,184.88/589,627.46 = 140,418.17/x
  3. Step 3: Cross multiply
    393,184.88x = 589,627.46 × 140,418.17
  4. Step 4: Simplify right side
    393,184.88x = 82,794,406,317.86
  5. Step 5: Solve for x
    x = 82,794,406,317.86/393,184.88
  6. Step 6: Final answer
    x = 210,573.73

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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.