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Finding the Fourth Proportional to 589,286.62, 813,215.68 and 321,014.62

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Solution

The fourth proportional to 589,286.62, 813,215.68 and 321,014.62 is: 443,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,286.62 : 813,215.68 = 321,014.62 : x
  2. Step 2: Convert to fraction form
    589,286.62/813,215.68 = 321,014.62/x
  3. Step 3: Cross multiply
    589,286.62x = 813,215.68 × 321,014.62
  4. Step 4: Simplify right side
    589,286.62x = 261,054,122,493.24
  5. Step 5: Solve for x
    x = 261,054,122,493.24/589,286.62
  6. Step 6: Final answer
    x = 443,000.25

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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.