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Finding the Fourth Proportional to 650,785.20, 976,087.80 and 201,814.80

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Solution

The fourth proportional to 650,785.20, 976,087.80 and 201,814.80 is: 302,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,785.20 : 976,087.80 = 201,814.80 : x
  2. Step 2: Convert to fraction form
    650,785.20/976,087.80 = 201,814.80/x
  3. Step 3: Cross multiply
    650,785.20x = 976,087.80 × 201,814.80
  4. Step 4: Simplify right side
    650,785.20x = 196,988,964,139.44
  5. Step 5: Solve for x
    x = 196,988,964,139.44/650,785.20
  6. Step 6: Final answer
    x = 302,694.29

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1.5x scale

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.