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Finding the Fourth Proportional to 378,809.60, 568,066.56 and 142,023.04

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Solution

The fourth proportional to 378,809.60, 568,066.56 and 142,023.04 is: 212,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,809.60 : 568,066.56 = 142,023.04 : x
  2. Step 2: Convert to fraction form
    378,809.60/568,066.56 = 142,023.04/x
  3. Step 3: Cross multiply
    378,809.60x = 568,066.56 × 142,023.04
  4. Step 4: Simplify right side
    378,809.60x = 80,678,539,773.54
  5. Step 5: Solve for x
    x = 80,678,539,773.54/378,809.60
  6. Step 6: Final answer
    x = 212,979.13

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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.