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Finding the Fourth Proportional to 260,687.57, 359,911.35 and 200,137.64

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Solution

The fourth proportional to 260,687.57, 359,911.35 and 200,137.64 is: 276,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,687.57 : 359,911.35 = 200,137.64 : x
  2. Step 2: Convert to fraction form
    260,687.57/359,911.35 = 200,137.64/x
  3. Step 3: Cross multiply
    260,687.57x = 359,911.35 × 200,137.64
  4. Step 4: Simplify right side
    260,687.57x = 72,031,806,398.66
  5. Step 5: Solve for x
    x = 72,031,806,398.66/260,687.57
  6. Step 6: Final answer
    x = 276,314.70

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1.5x scale

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.