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Finding the Fourth Proportional to 378,137.60, 568,051.20 and 315,929.60

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Solution

The fourth proportional to 378,137.60, 568,051.20 and 315,929.60 is: 474,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,137.60 : 568,051.20 = 315,929.60 : x
  2. Step 2: Convert to fraction form
    378,137.60/568,051.20 = 315,929.60/x
  3. Step 3: Cross multiply
    378,137.60x = 568,051.20 × 315,929.60
  4. Step 4: Simplify right side
    378,137.60x = 179,464,188,395.52
  5. Step 5: Solve for x
    x = 179,464,188,395.52/378,137.60
  6. Step 6: Final answer
    x = 474,600.22

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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.