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Finding the Fourth Proportional to 589,427.75, 813,410.31 and 321,155.75

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Solution

The fourth proportional to 589,427.75, 813,410.31 and 321,155.75 is: 443,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,427.75 : 813,410.31 = 321,155.75 : x
  2. Step 2: Convert to fraction form
    589,427.75/813,410.31 = 321,155.75/x
  3. Step 3: Cross multiply
    589,427.75x = 813,410.31 × 321,155.75
  4. Step 4: Simplify right side
    589,427.75x = 261,231,398,165.78
  5. Step 5: Solve for x
    x = 261,231,398,165.78/589,427.75
  6. Step 6: Final answer
    x = 443,194.94

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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.