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Finding the Fourth Proportional to 393,053, 589,704.08 and 140,327.96

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Solution

The fourth proportional to 393,053, 589,704.08 and 140,327.96 is: 210,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,053 : 589,704.08 = 140,327.96 : x
  2. Step 2: Convert to fraction form
    393,053/589,704.08 = 140,327.96/x
  3. Step 3: Cross multiply
    393,053x = 589,704.08 × 140,327.96
  4. Step 4: Simplify right side
    393,053x = 82,751,970,550.08
  5. Step 5: Solve for x
    x = 82,751,970,550.08/393,053
  6. Step 6: Final answer
    x = 210,536.42

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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.