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Finding the Fourth Proportional to 266,649, 367,976.28 and 145,798.09

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Solution

The fourth proportional to 266,649, 367,976.28 and 145,798.09 is: 201,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,649 : 367,976.28 = 145,798.09 : x
  2. Step 2: Convert to fraction form
    266,649/367,976.28 = 145,798.09/x
  3. Step 3: Cross multiply
    266,649x = 367,976.28 × 145,798.09
  4. Step 4: Simplify right side
    266,649x = 53,650,238,789.31
  5. Step 5: Solve for x
    x = 53,650,238,789.31/266,649
  6. Step 6: Final answer
    x = 201,201.73

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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.