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Finding the Fourth Proportional to 395,229.53, 592,481.01 and 142,448.15

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Solution

The fourth proportional to 395,229.53, 592,481.01 and 142,448.15 is: 213,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,229.53 : 592,481.01 = 142,448.15 : x
  2. Step 2: Convert to fraction form
    395,229.53/592,481.01 = 142,448.15/x
  3. Step 3: Cross multiply
    395,229.53x = 592,481.01 × 142,448.15
  4. Step 4: Simplify right side
    395,229.53x = 84,397,825,800.01
  5. Step 5: Solve for x
    x = 84,397,825,800.01/395,229.53
  6. Step 6: Final answer
    x = 213,541.30

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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.