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Finding the Fourth Proportional to 378,333.44, 522,123 and 208,566.80

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Solution

The fourth proportional to 378,333.44, 522,123 and 208,566.80 is: 287,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,333.44 : 522,123 = 208,566.80 : x
  2. Step 2: Convert to fraction form
    378,333.44/522,123 = 208,566.80/x
  3. Step 3: Cross multiply
    378,333.44x = 522,123 × 208,566.80
  4. Step 4: Simplify right side
    378,333.44x = 108,897,523,316.40
  5. Step 5: Solve for x
    x = 108,897,523,316.40/378,333.44
  6. Step 6: Final answer
    x = 287,834.78

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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.