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Finding the Fourth Proportional to 512,073.72, 706,661.31 and 285,719.22

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Solution

The fourth proportional to 512,073.72, 706,661.31 and 285,719.22 is: 394,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,073.72 : 706,661.31 = 285,719.22 : x
  2. Step 2: Convert to fraction form
    512,073.72/706,661.31 = 285,719.22/x
  3. Step 3: Cross multiply
    512,073.72x = 706,661.31 × 285,719.22
  4. Step 4: Simplify right side
    512,073.72x = 201,906,718,297.38
  5. Step 5: Solve for x
    x = 201,906,718,297.38/512,073.72
  6. Step 6: Final answer
    x = 394,292.29

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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.