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Finding the Fourth Proportional to 378,742.60, 568,312.62 and 142,248.52

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Solution

The fourth proportional to 378,742.60, 568,312.62 and 142,248.52 is: 213,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,742.60 : 568,312.62 = 142,248.52 : x
  2. Step 2: Convert to fraction form
    378,742.60/568,312.62 = 142,248.52/x
  3. Step 3: Cross multiply
    378,742.60x = 568,312.62 × 142,248.52
  4. Step 4: Simplify right side
    378,742.60x = 80,841,629,092.32
  5. Step 5: Solve for x
    x = 80,841,629,092.32/378,742.60
  6. Step 6: Final answer
    x = 213,447.42

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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.