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Finding the Fourth Proportional to 589,601.44, 813,650.16 and 321,329.44

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Solution

The fourth proportional to 589,601.44, 813,650.16 and 321,329.44 is: 443,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,601.44 : 813,650.16 = 321,329.44 : x
  2. Step 2: Convert to fraction form
    589,601.44/813,650.16 = 321,329.44/x
  3. Step 3: Cross multiply
    589,601.44x = 813,650.16 × 321,329.44
  4. Step 4: Simplify right side
    589,601.44x = 261,449,750,268.71
  5. Step 5: Solve for x
    x = 261,449,750,268.71/589,601.44
  6. Step 6: Final answer
    x = 443,434.72

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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.