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Finding the Fourth Proportional to 512,956.78, 707,917 and 283,509.13

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Solution

The fourth proportional to 512,956.78, 707,917 and 283,509.13 is: 391,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,956.78 : 707,917 = 283,509.13 : x
  2. Step 2: Convert to fraction form
    512,956.78/707,917 = 283,509.13/x
  3. Step 3: Cross multiply
    512,956.78x = 707,917 × 283,509.13
  4. Step 4: Simplify right side
    512,956.78x = 200,700,932,782.21
  5. Step 5: Solve for x
    x = 200,700,932,782.21/512,956.78
  6. Step 6: Final answer
    x = 391,262.85

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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.