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Finding the Fourth Proportional to 301,275.32, 451,912.48 and 123,657.20

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Solution

The fourth proportional to 301,275.32, 451,912.48 and 123,657.20 is: 185,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,275.32 : 451,912.48 = 123,657.20 : x
  2. Step 2: Convert to fraction form
    301,275.32/451,912.48 = 123,657.20/x
  3. Step 3: Cross multiply
    301,275.32x = 451,912.48 × 123,657.20
  4. Step 4: Simplify right side
    301,275.32x = 55,882,231,047.82
  5. Step 5: Solve for x
    x = 55,882,231,047.82/301,275.32
  6. Step 6: Final answer
    x = 185,485.59

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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.