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Finding the Fourth Proportional to 260,534.92, 359,699.46 and 199,989.64

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Solution

The fourth proportional to 260,534.92, 359,699.46 and 199,989.64 is: 276,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,534.92 : 359,699.46 = 199,989.64 : x
  2. Step 2: Convert to fraction form
    260,534.92/359,699.46 = 199,989.64/x
  3. Step 3: Cross multiply
    260,534.92x = 359,699.46 × 199,989.64
  4. Step 4: Simplify right side
    260,534.92x = 71,936,165,513.59
  5. Step 5: Solve for x
    x = 71,936,165,513.59/260,534.92
  6. Step 6: Final answer
    x = 276,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.