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Finding the Fourth Proportional to 252,351.25, 378,468.52 and 74,815.45

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Solution

The fourth proportional to 252,351.25, 378,468.52 and 74,815.45 is: 112,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,351.25 : 378,468.52 = 74,815.45 : x
  2. Step 2: Convert to fraction form
    252,351.25/378,468.52 = 74,815.45/x
  3. Step 3: Cross multiply
    252,351.25x = 378,468.52 × 74,815.45
  4. Step 4: Simplify right side
    252,351.25x = 28,315,291,501.42
  5. Step 5: Solve for x
    x = 28,315,291,501.42/252,351.25
  6. Step 6: Final answer
    x = 112,205.87

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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.