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Finding the Fourth Proportional to 702,858.28, 969,906 and 412,430.74

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Solution

The fourth proportional to 702,858.28, 969,906 and 412,430.74 is: 569,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,858.28 : 969,906 = 412,430.74 : x
  2. Step 2: Convert to fraction form
    702,858.28/969,906 = 412,430.74/x
  3. Step 3: Cross multiply
    702,858.28x = 969,906 × 412,430.74
  4. Step 4: Simplify right side
    702,858.28x = 400,019,049,310.44
  5. Step 5: Solve for x
    x = 400,019,049,310.44/702,858.28
  6. Step 6: Final answer
    x = 569,131.87

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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.