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Finding the Fourth Proportional to 702,319.28, 969,204.02 and 396,408.60

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Solution

The fourth proportional to 702,319.28, 969,204.02 and 396,408.60 is: 547,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,319.28 : 969,204.02 = 396,408.60 : x
  2. Step 2: Convert to fraction form
    702,319.28/969,204.02 = 396,408.60/x
  3. Step 3: Cross multiply
    702,319.28x = 969,204.02 × 396,408.60
  4. Step 4: Simplify right side
    702,319.28x = 384,200,806,700.53
  5. Step 5: Solve for x
    x = 384,200,806,700.53/702,319.28
  6. Step 6: Final answer
    x = 547,045.80

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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.