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Finding the Fourth Proportional to 397,287.52, 595,743.96 and 144,390.12

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Solution

The fourth proportional to 397,287.52, 595,743.96 and 144,390.12 is: 216,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,287.52 : 595,743.96 = 144,390.12 : x
  2. Step 2: Convert to fraction form
    397,287.52/595,743.96 = 144,390.12/x
  3. Step 3: Cross multiply
    397,287.52x = 595,743.96 × 144,390.12
  4. Step 4: Simplify right side
    397,287.52x = 86,019,541,873.68
  5. Step 5: Solve for x
    x = 86,019,541,873.68/397,287.52
  6. Step 6: Final answer
    x = 216,517.10

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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.