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Finding the Fourth Proportional to 313,861.40, 433,086.30 and 200,603.80

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Solution

The fourth proportional to 313,861.40, 433,086.30 and 200,603.80 is: 276,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,861.40 : 433,086.30 = 200,603.80 : x
  2. Step 2: Convert to fraction form
    313,861.40/433,086.30 = 200,603.80/x
  3. Step 3: Cross multiply
    313,861.40x = 433,086.30 × 200,603.80
  4. Step 4: Simplify right side
    313,861.40x = 86,878,757,507.94
  5. Step 5: Solve for x
    x = 86,878,757,507.94/313,861.40
  6. Step 6: Final answer
    x = 276,806.12

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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.