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Finding the Fourth Proportional to 268,893.78, 402,232.56 and 220,969.32

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Solution

The fourth proportional to 268,893.78, 402,232.56 and 220,969.32 is: 330,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,893.78 : 402,232.56 = 220,969.32 : x
  2. Step 2: Convert to fraction form
    268,893.78/402,232.56 = 220,969.32/x
  3. Step 3: Cross multiply
    268,893.78x = 402,232.56 × 220,969.32
  4. Step 4: Simplify right side
    268,893.78x = 88,881,055,265.06
  5. Step 5: Solve for x
    x = 88,881,055,265.06/268,893.78
  6. Step 6: Final answer
    x = 330,543.37

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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.