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Finding the Fourth Proportional to 512,659.85, 707,467.23 and 283,231.94

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Solution

The fourth proportional to 512,659.85, 707,467.23 and 283,231.94 is: 390,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,659.85 : 707,467.23 = 283,231.94 : x
  2. Step 2: Convert to fraction form
    512,659.85/707,467.23 = 283,231.94/x
  3. Step 3: Cross multiply
    512,659.85x = 707,467.23 × 283,231.94
  4. Step 4: Simplify right side
    512,659.85x = 200,377,312,501.99
  5. Step 5: Solve for x
    x = 200,377,312,501.99/512,659.85
  6. Step 6: Final answer
    x = 390,858.21

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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.