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Finding the Fourth Proportional to 702,171, 969,020.91 and 396,321.84

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Solution

The fourth proportional to 702,171, 969,020.91 and 396,321.84 is: 546,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,171 : 969,020.91 = 396,321.84 : x
  2. Step 2: Convert to fraction form
    702,171/969,020.91 = 396,321.84/x
  3. Step 3: Cross multiply
    702,171x = 969,020.91 × 396,321.84
  4. Step 4: Simplify right side
    702,171x = 384,044,150,049.67
  5. Step 5: Solve for x
    x = 384,044,150,049.67/702,171
  6. Step 6: Final answer
    x = 546,938.21

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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.