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Finding the Fourth Proportional to 378,398.54, 522,193.52 and 208,638.70

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Solution

The fourth proportional to 378,398.54, 522,193.52 and 208,638.70 is: 287,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,398.54 : 522,193.52 = 208,638.70 : x
  2. Step 2: Convert to fraction form
    378,398.54/522,193.52 = 208,638.70/x
  3. Step 3: Cross multiply
    378,398.54x = 522,193.52 × 208,638.70
  4. Step 4: Simplify right side
    378,398.54x = 108,949,777,161.22
  5. Step 5: Solve for x
    x = 108,949,777,161.22/378,398.54
  6. Step 6: Final answer
    x = 287,923.35

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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.