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Finding the Fourth Proportional to 378,664.80, 567,514.80 and 201,256.80

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Solution

The fourth proportional to 378,664.80, 567,514.80 and 201,256.80 is: 301,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,664.80 : 567,514.80 = 201,256.80 : x
  2. Step 2: Convert to fraction form
    378,664.80/567,514.80 = 201,256.80/x
  3. Step 3: Cross multiply
    378,664.80x = 567,514.80 × 201,256.80
  4. Step 4: Simplify right side
    378,664.80x = 114,216,212,600.64
  5. Step 5: Solve for x
    x = 114,216,212,600.64/378,664.80
  6. Step 6: Final answer
    x = 301,628.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.