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Finding the Fourth Proportional to 378,407, 566,451.34 and 245,021.88

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Solution

The fourth proportional to 378,407, 566,451.34 and 245,021.88 is: 366,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,407 : 566,451.34 = 245,021.88 : x
  2. Step 2: Convert to fraction form
    378,407/566,451.34 = 245,021.88/x
  3. Step 3: Cross multiply
    378,407x = 566,451.34 × 245,021.88
  4. Step 4: Simplify right side
    378,407x = 138,792,972,255.32
  5. Step 5: Solve for x
    x = 138,792,972,255.32/378,407
  6. Step 6: Final answer
    x = 366,782.25

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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.