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Finding the Fourth Proportional to 378,802.10, 522,738.84 and 206,714.36

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Solution

The fourth proportional to 378,802.10, 522,738.84 and 206,714.36 is: 285,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,802.10 : 522,738.84 = 206,714.36 : x
  2. Step 2: Convert to fraction form
    378,802.10/522,738.84 = 206,714.36/x
  3. Step 3: Cross multiply
    378,802.10x = 522,738.84 × 206,714.36
  4. Step 4: Simplify right side
    378,802.10x = 108,057,624,757.74
  5. Step 5: Solve for x
    x = 108,057,624,757.74/378,802.10
  6. Step 6: Final answer
    x = 285,261.42

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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.