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Finding the Fourth Proportional to 393,185.13, 589,627.84 and 140,418.42

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Solution

The fourth proportional to 393,185.13, 589,627.84 and 140,418.42 is: 210,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,185.13 : 589,627.84 = 140,418.42 : x
  2. Step 2: Convert to fraction form
    393,185.13/589,627.84 = 140,418.42/x
  3. Step 3: Cross multiply
    393,185.13x = 589,627.84 × 140,418.42
  4. Step 4: Simplify right side
    393,185.13x = 82,794,609,680.81
  5. Step 5: Solve for x
    x = 82,794,609,680.81/393,185.13
  6. Step 6: Final answer
    x = 210,574.11

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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.