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Finding the Fourth Proportional to 512,231.32, 706,971.76 and 305,512.97

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Solution

The fourth proportional to 512,231.32, 706,971.76 and 305,512.97 is: 421,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,231.32 : 706,971.76 = 305,512.97 : x
  2. Step 2: Convert to fraction form
    512,231.32/706,971.76 = 305,512.97/x
  3. Step 3: Cross multiply
    512,231.32x = 706,971.76 × 305,512.97
  4. Step 4: Simplify right side
    512,231.32x = 215,989,043,107.37
  5. Step 5: Solve for x
    x = 215,989,043,107.37/512,231.32
  6. Step 6: Final answer
    x = 421,663.10

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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.