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Finding the Fourth Proportional to 702,177, 969,029.19 and 396,327.84

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Solution

The fourth proportional to 702,177, 969,029.19 and 396,327.84 is: 546,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,177 : 969,029.19 = 396,327.84 : x
  2. Step 2: Convert to fraction form
    702,177/969,029.19 = 396,327.84/x
  3. Step 3: Cross multiply
    702,177x = 969,029.19 × 396,327.84
  4. Step 4: Simplify right side
    702,177x = 384,053,245,769.65
  5. Step 5: Solve for x
    x = 384,053,245,769.65/702,177
  6. Step 6: Final answer
    x = 546,946.49

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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.