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Finding the Fourth Proportional to 702,858.78, 969,906.69 and 412,431.24

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Solution

The fourth proportional to 702,858.78, 969,906.69 and 412,431.24 is: 569,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,858.78 : 969,906.69 = 412,431.24 : x
  2. Step 2: Convert to fraction form
    702,858.78/969,906.69 = 412,431.24/x
  3. Step 3: Cross multiply
    702,858.78x = 969,906.69 × 412,431.24
  4. Step 4: Simplify right side
    702,858.78x = 400,019,818,841.00
  5. Step 5: Solve for x
    x = 400,019,818,841.00/702,858.78
  6. Step 6: Final answer
    x = 569,132.56

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1.5x scale

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.