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Finding the Fourth Proportional to 378,726.32, 522,949.38 and 361,602.11

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Solution

The fourth proportional to 378,726.32, 522,949.38 and 361,602.11 is: 499,304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,726.32 : 522,949.38 = 361,602.11 : x
  2. Step 2: Convert to fraction form
    378,726.32/522,949.38 = 361,602.11/x
  3. Step 3: Cross multiply
    378,726.32x = 522,949.38 × 361,602.11
  4. Step 4: Simplify right side
    378,726.32x = 189,099,599,231.19
  5. Step 5: Solve for x
    x = 189,099,599,231.19/378,726.32
  6. Step 6: Final answer
    x = 499,304.09

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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.