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Finding the Fourth Proportional to 378,450.38, 522,250.35 and 208,684.46

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Solution

The fourth proportional to 378,450.38, 522,250.35 and 208,684.46 is: 287,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,450.38 : 522,250.35 = 208,684.46 : x
  2. Step 2: Convert to fraction form
    378,450.38/522,250.35 = 208,684.46/x
  3. Step 3: Cross multiply
    378,450.38x = 522,250.35 × 208,684.46
  4. Step 4: Simplify right side
    378,450.38x = 108,985,532,274.56
  5. Step 5: Solve for x
    x = 108,985,532,274.56/378,450.38
  6. Step 6: Final answer
    x = 287,978.39

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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.