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Finding the Fourth Proportional to 280,763.31, 420,906.27 and 122,873.79

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Solution

The fourth proportional to 280,763.31, 420,906.27 and 122,873.79 is: 184,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,763.31 : 420,906.27 = 122,873.79 : x
  2. Step 2: Convert to fraction form
    280,763.31/420,906.27 = 122,873.79/x
  3. Step 3: Cross multiply
    280,763.31x = 420,906.27 × 122,873.79
  4. Step 4: Simplify right side
    280,763.31x = 51,718,348,629.66
  5. Step 5: Solve for x
    x = 51,718,348,629.66/280,763.31
  6. Step 6: Final answer
    x = 184,206.22

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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.