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Finding the Fourth Proportional to 512,946.29, 707,843.85 and 283,491.72

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Solution

The fourth proportional to 512,946.29, 707,843.85 and 283,491.72 is: 391,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,946.29 : 707,843.85 = 283,491.72 : x
  2. Step 2: Convert to fraction form
    512,946.29/707,843.85 = 283,491.72/x
  3. Step 3: Cross multiply
    512,946.29x = 707,843.85 × 283,491.72
  4. Step 4: Simplify right side
    512,946.29x = 200,667,870,527.92
  5. Step 5: Solve for x
    x = 200,667,870,527.92/512,946.29
  6. Step 6: Final answer
    x = 391,206.40

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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.