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Finding the Fourth Proportional to 512,840, 707,717.46 and 283,390.88

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Solution

The fourth proportional to 512,840, 707,717.46 and 283,390.88 is: 391,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,840 : 707,717.46 = 283,390.88 : x
  2. Step 2: Convert to fraction form
    512,840/707,717.46 = 283,390.88/x
  3. Step 3: Cross multiply
    512,840x = 707,717.46 × 283,390.88
  4. Step 4: Simplify right side
    512,840x = 200,560,673,780.77
  5. Step 5: Solve for x
    x = 200,560,673,780.77/512,840
  6. Step 6: Final answer
    x = 391,078.45

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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.