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Finding the Fourth Proportional to 589,288.12, 813,217.74 and 321,016.12

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Solution

The fourth proportional to 589,288.12, 813,217.74 and 321,016.12 is: 443,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,288.12 : 813,217.74 = 321,016.12 : x
  2. Step 2: Convert to fraction form
    589,288.12/813,217.74 = 321,016.12/x
  3. Step 3: Cross multiply
    589,288.12x = 813,217.74 × 321,016.12
  4. Step 4: Simplify right side
    589,288.12x = 261,056,003,609.97
  5. Step 5: Solve for x
    x = 261,056,003,609.97/589,288.12
  6. Step 6: Final answer
    x = 443,002.32

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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.