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Finding the Fourth Proportional to 378,104.80, 566,961 and 111,830.32

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Solution

The fourth proportional to 378,104.80, 566,961 and 111,830.32 is: 167,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,104.80 : 566,961 = 111,830.32 : x
  2. Step 2: Convert to fraction form
    378,104.80/566,961 = 111,830.32/x
  3. Step 3: Cross multiply
    378,104.80x = 566,961 × 111,830.32
  4. Step 4: Simplify right side
    378,104.80x = 63,403,430,057.52
  5. Step 5: Solve for x
    x = 63,403,430,057.52/378,104.80
  6. Step 6: Final answer
    x = 167,687.45

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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.