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Finding the Fourth Proportional to 378,132.60, 568,043.70 and 315,924.60

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Solution

The fourth proportional to 378,132.60, 568,043.70 and 315,924.60 is: 474,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,132.60 : 568,043.70 = 315,924.60 : x
  2. Step 2: Convert to fraction form
    378,132.60/568,043.70 = 315,924.60/x
  3. Step 3: Cross multiply
    378,132.60x = 568,043.70 × 315,924.60
  4. Step 4: Simplify right side
    378,132.60x = 179,458,978,705.02
  5. Step 5: Solve for x
    x = 179,458,978,705.02/378,132.60
  6. Step 6: Final answer
    x = 474,592.72

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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.