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Finding the Fourth Proportional to 254,978.80, 382,068.60 and 161,286.64

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Solution

The fourth proportional to 254,978.80, 382,068.60 and 161,286.64 is: 241,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,978.80 : 382,068.60 = 161,286.64 : x
  2. Step 2: Convert to fraction form
    254,978.80/382,068.60 = 161,286.64/x
  3. Step 3: Cross multiply
    254,978.80x = 382,068.60 × 161,286.64
  4. Step 4: Simplify right side
    254,978.80x = 61,622,560,743.50
  5. Step 5: Solve for x
    x = 61,622,560,743.50/254,978.80
  6. Step 6: Final answer
    x = 241,677.19

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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.