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Finding the Fourth Proportional to 378,565.88, 522,419.91 and 217,431.38

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Solution

The fourth proportional to 378,565.88, 522,419.91 and 217,431.38 is: 300,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,565.88 : 522,419.91 = 217,431.38 : x
  2. Step 2: Convert to fraction form
    378,565.88/522,419.91 = 217,431.38/x
  3. Step 3: Cross multiply
    378,565.88x = 522,419.91 × 217,431.38
  4. Step 4: Simplify right side
    378,565.88x = 113,590,481,970.78
  5. Step 5: Solve for x
    x = 113,590,481,970.78/378,565.88
  6. Step 6: Final answer
    x = 300,054.73

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1.5x scale

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.