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Finding the Fourth Proportional to 378,725.40, 522,697.68 and 242,912.52

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Solution

The fourth proportional to 378,725.40, 522,697.68 and 242,912.52 is: 335,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,725.40 : 522,697.68 = 242,912.52 : x
  2. Step 2: Convert to fraction form
    378,725.40/522,697.68 = 242,912.52/x
  3. Step 3: Cross multiply
    378,725.40x = 522,697.68 × 242,912.52
  4. Step 4: Simplify right side
    378,725.40x = 126,969,810,646.95
  5. Step 5: Solve for x
    x = 126,969,810,646.95/378,725.40
  6. Step 6: Final answer
    x = 335,255.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.