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Finding the Fourth Proportional to 512,072.24, 706,659.23 and 285,717.74

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Solution

The fourth proportional to 512,072.24, 706,659.23 and 285,717.74 is: 394,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,072.24 : 706,659.23 = 285,717.74 : x
  2. Step 2: Convert to fraction form
    512,072.24/706,659.23 = 285,717.74/x
  3. Step 3: Cross multiply
    512,072.24x = 706,659.23 × 285,717.74
  4. Step 4: Simplify right side
    512,072.24x = 201,905,073,183.86
  5. Step 5: Solve for x
    x = 201,905,073,183.86/512,072.24
  6. Step 6: Final answer
    x = 394,290.22

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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.