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Finding the Fourth Proportional to 301,327.44, 451,978.19 and 90,959.10

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Solution

The fourth proportional to 301,327.44, 451,978.19 and 90,959.10 is: 136,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,327.44 : 451,978.19 = 90,959.10 : x
  2. Step 2: Convert to fraction form
    301,327.44/451,978.19 = 90,959.10/x
  3. Step 3: Cross multiply
    301,327.44x = 451,978.19 × 90,959.10
  4. Step 4: Simplify right side
    301,327.44x = 41,111,529,382.03
  5. Step 5: Solve for x
    x = 41,111,529,382.03/301,327.44
  6. Step 6: Final answer
    x = 136,434.73

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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.