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Finding the Fourth Proportional to 378,838.37, 522,801.78 and 223,794.77

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Solution

The fourth proportional to 378,838.37, 522,801.78 and 223,794.77 is: 308,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,838.37 : 522,801.78 = 223,794.77 : x
  2. Step 2: Convert to fraction form
    378,838.37/522,801.78 = 223,794.77/x
  3. Step 3: Cross multiply
    378,838.37x = 522,801.78 × 223,794.77
  4. Step 4: Simplify right side
    378,838.37x = 117,000,300,657.45
  5. Step 5: Solve for x
    x = 117,000,300,657.45/378,838.37
  6. Step 6: Final answer
    x = 308,839.63

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1.5x scale

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.