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Finding the Fourth Proportional to 378,297.44, 522,050.36 and 208,534.40

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Solution

The fourth proportional to 378,297.44, 522,050.36 and 208,534.40 is: 287,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,297.44 : 522,050.36 = 208,534.40 : x
  2. Step 2: Convert to fraction form
    378,297.44/522,050.36 = 208,534.40/x
  3. Step 3: Cross multiply
    378,297.44x = 522,050.36 × 208,534.40
  4. Step 4: Simplify right side
    378,297.44x = 108,865,458,592.38
  5. Step 5: Solve for x
    x = 108,865,458,592.38/378,297.44
  6. Step 6: Final answer
    x = 287,777.41

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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.