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Finding the Fourth Proportional to 265,129.81, 397,694.72 and 218,284.27

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Solution

The fourth proportional to 265,129.81, 397,694.72 and 218,284.27 is: 327,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,129.81 : 397,694.72 = 218,284.27 : x
  2. Step 2: Convert to fraction form
    265,129.81/397,694.72 = 218,284.27/x
  3. Step 3: Cross multiply
    265,129.81x = 397,694.72 × 218,284.27
  4. Step 4: Simplify right side
    265,129.81x = 86,810,501,638.05
  5. Step 5: Solve for x
    x = 86,810,501,638.05/265,129.81
  6. Step 6: Final answer
    x = 327,426.41

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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.