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Finding the Fourth Proportional to 378,406, 566,449.84 and 245,020.88

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Solution

The fourth proportional to 378,406, 566,449.84 and 245,020.88 is: 366,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,406 : 566,449.84 = 245,020.88 : x
  2. Step 2: Convert to fraction form
    378,406/566,449.84 = 245,020.88/x
  3. Step 3: Cross multiply
    378,406x = 566,449.84 × 245,020.88
  4. Step 4: Simplify right side
    378,406x = 138,792,038,272.66
  5. Step 5: Solve for x
    x = 138,792,038,272.66/378,406
  6. Step 6: Final answer
    x = 366,780.75

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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.