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Finding the Fourth Proportional to 378,409.36, 522,208.44 and 208,649.52

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Solution

The fourth proportional to 378,409.36, 522,208.44 and 208,649.52 is: 287,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,409.36 : 522,208.44 = 208,649.52 : x
  2. Step 2: Convert to fraction form
    378,409.36/522,208.44 = 208,649.52/x
  3. Step 3: Cross multiply
    378,409.36x = 522,208.44 × 208,649.52
  4. Step 4: Simplify right side
    378,409.36x = 108,958,540,345.95
  5. Step 5: Solve for x
    x = 108,958,540,345.95/378,409.36
  6. Step 6: Final answer
    x = 287,938.28

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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.