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Finding the Fourth Proportional to 378,727.89, 522,833.88 and 235,534.07

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Solution

The fourth proportional to 378,727.89, 522,833.88 and 235,534.07 is: 325,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,727.89 : 522,833.88 = 235,534.07 : x
  2. Step 2: Convert to fraction form
    378,727.89/522,833.88 = 235,534.07/x
  3. Step 3: Cross multiply
    378,727.89x = 522,833.88 × 235,534.07
  4. Step 4: Simplify right side
    378,727.89x = 123,145,189,076.12
  5. Step 5: Solve for x
    x = 123,145,189,076.12/378,727.89
  6. Step 6: Final answer
    x = 325,154.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.