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Finding the Fourth Proportional to 702,305.68, 969,194.34 and 396,443.20

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Solution

The fourth proportional to 702,305.68, 969,194.34 and 396,443.20 is: 547,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,305.68 : 969,194.34 = 396,443.20 : x
  2. Step 2: Convert to fraction form
    702,305.68/969,194.34 = 396,443.20/x
  3. Step 3: Cross multiply
    702,305.68x = 969,194.34 × 396,443.20
  4. Step 4: Simplify right side
    702,305.68x = 384,230,505,571.49
  5. Step 5: Solve for x
    x = 384,230,505,571.49/702,305.68
  6. Step 6: Final answer
    x = 547,098.67

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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.