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Finding the Fourth Proportional to 512,958.43, 707,919.27 and 283,510.81

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Solution

The fourth proportional to 512,958.43, 707,919.27 and 283,510.81 is: 391,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,958.43 : 707,919.27 = 283,510.81 : x
  2. Step 2: Convert to fraction form
    512,958.43/707,919.27 = 283,510.81/x
  3. Step 3: Cross multiply
    512,958.43x = 707,919.27 × 283,510.81
  4. Step 4: Simplify right side
    512,958.43x = 200,702,765,652.31
  5. Step 5: Solve for x
    x = 200,702,765,652.31/512,958.43
  6. Step 6: Final answer
    x = 391,265.17

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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.