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Finding the Fourth Proportional to 378,817.07, 522,964.11 and 276,727.91

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Solution

The fourth proportional to 378,817.07, 522,964.11 and 276,727.91 is: 382,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,817.07 : 522,964.11 = 276,727.91 : x
  2. Step 2: Convert to fraction form
    378,817.07/522,964.11 = 276,727.91/x
  3. Step 3: Cross multiply
    378,817.07x = 522,964.11 × 276,727.91
  4. Step 4: Simplify right side
    378,817.07x = 144,718,763,781.67
  5. Step 5: Solve for x
    x = 144,718,763,781.67/378,817.07
  6. Step 6: Final answer
    x = 382,028.10

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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.