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Finding the Fourth Proportional to 378,093.60, 567,140.40 and 340,695.90

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Solution

The fourth proportional to 378,093.60, 567,140.40 and 340,695.90 is: 511,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,093.60 : 567,140.40 = 340,695.90 : x
  2. Step 2: Convert to fraction form
    378,093.60/567,140.40 = 340,695.90/x
  3. Step 3: Cross multiply
    378,093.60x = 567,140.40 × 340,695.90
  4. Step 4: Simplify right side
    378,093.60x = 193,222,409,004.36
  5. Step 5: Solve for x
    x = 193,222,409,004.36/378,093.60
  6. Step 6: Final answer
    x = 511,043.85

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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.