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Finding the Fourth Proportional to 265,766.51, 398,255.94 and 218,715.95

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Solution

The fourth proportional to 265,766.51, 398,255.94 and 218,715.95 is: 327,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,766.51 : 398,255.94 = 218,715.95 : x
  2. Step 2: Convert to fraction form
    265,766.51/398,255.94 = 218,715.95/x
  3. Step 3: Cross multiply
    265,766.51x = 398,255.94 × 218,715.95
  4. Step 4: Simplify right side
    265,766.51x = 87,104,924,268.96
  5. Step 5: Solve for x
    x = 87,104,924,268.96/265,766.51
  6. Step 6: Final answer
    x = 327,749.82

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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.