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Finding the Fourth Proportional to 589,436.26, 813,422.02 and 321,164.26

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Solution

The fourth proportional to 589,436.26, 813,422.02 and 321,164.26 is: 443,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,436.26 : 813,422.02 = 321,164.26 : x
  2. Step 2: Convert to fraction form
    589,436.26/813,422.02 = 321,164.26/x
  3. Step 3: Cross multiply
    589,436.26x = 813,422.02 × 321,164.26
  4. Step 4: Simplify right side
    589,436.26x = 261,242,081,121.01
  5. Step 5: Solve for x
    x = 261,242,081,121.01/589,436.26
  6. Step 6: Final answer
    x = 443,206.67

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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.