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Finding the Fourth Proportional to 265,128.81, 397,693.22 and 218,283.27

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Solution

The fourth proportional to 265,128.81, 397,693.22 and 218,283.27 is: 327,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,128.81 : 397,693.22 = 218,283.27 : x
  2. Step 2: Convert to fraction form
    265,128.81/397,693.22 = 218,283.27/x
  3. Step 3: Cross multiply
    265,128.81x = 397,693.22 × 218,283.27
  4. Step 4: Simplify right side
    265,128.81x = 86,809,775,427.01
  5. Step 5: Solve for x
    x = 86,809,775,427.01/265,128.81
  6. Step 6: Final answer
    x = 327,424.91

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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.