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Finding the Fourth Proportional to 265,130.81, 397,696.22 and 218,285.27

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Solution

The fourth proportional to 265,130.81, 397,696.22 and 218,285.27 is: 327,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,130.81 : 397,696.22 = 218,285.27 : x
  2. Step 2: Convert to fraction form
    265,130.81/397,696.22 = 218,285.27/x
  3. Step 3: Cross multiply
    265,130.81x = 397,696.22 × 218,285.27
  4. Step 4: Simplify right side
    265,130.81x = 86,811,226,760.68
  5. Step 5: Solve for x
    x = 86,811,226,760.68/265,130.81
  6. Step 6: Final answer
    x = 327,427.91

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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.