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Finding the Fourth Proportional to 378,106.80, 566,964 and 111,832.32

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Solution

The fourth proportional to 378,106.80, 566,964 and 111,832.32 is: 167,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,106.80 : 566,964 = 111,832.32 : x
  2. Step 2: Convert to fraction form
    378,106.80/566,964 = 111,832.32/x
  3. Step 3: Cross multiply
    378,106.80x = 566,964 × 111,832.32
  4. Step 4: Simplify right side
    378,106.80x = 63,404,899,476.48
  5. Step 5: Solve for x
    x = 63,404,899,476.48/378,106.80
  6. Step 6: Final answer
    x = 167,690.45

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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.