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Finding the Fourth Proportional to 378,401.88, 522,198.60 and 208,642.08

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Solution

The fourth proportional to 378,401.88, 522,198.60 and 208,642.08 is: 287,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.88 : 522,198.60 = 208,642.08 : x
  2. Step 2: Convert to fraction form
    378,401.88/522,198.60 = 208,642.08/x
  3. Step 3: Cross multiply
    378,401.88x = 522,198.60 × 208,642.08
  4. Step 4: Simplify right side
    378,401.88x = 108,952,602,077.09
  5. Step 5: Solve for x
    x = 108,952,602,077.09/378,401.88
  6. Step 6: Final answer
    x = 287,928.28

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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.