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Finding the Fourth Proportional to 702,181, 969,034.71 and 396,331.84

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Solution

The fourth proportional to 702,181, 969,034.71 and 396,331.84 is: 546,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,181 : 969,034.71 = 396,331.84 : x
  2. Step 2: Convert to fraction form
    702,181/969,034.71 = 396,331.84/x
  3. Step 3: Cross multiply
    702,181x = 969,034.71 × 396,331.84
  4. Step 4: Simplify right side
    702,181x = 384,059,309,638.17
  5. Step 5: Solve for x
    x = 384,059,309,638.17/702,181
  6. Step 6: Final answer
    x = 546,952.01

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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.