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Finding the Fourth Proportional to 702,790, 969,775.78 and 396,847.84

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Solution

The fourth proportional to 702,790, 969,775.78 and 396,847.84 is: 547,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,790 : 969,775.78 = 396,847.84 : x
  2. Step 2: Convert to fraction form
    702,790/969,775.78 = 396,847.84/x
  3. Step 3: Cross multiply
    702,790x = 969,775.78 × 396,847.84
  4. Step 4: Simplify right side
    702,790x = 384,853,423,577.32
  5. Step 5: Solve for x
    x = 384,853,423,577.32/702,790
  6. Step 6: Final answer
    x = 547,608.00

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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.