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Finding the Fourth Proportional to 512,733.54, 707,586.55 and 283,305.61

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Solution

The fourth proportional to 512,733.54, 707,586.55 and 283,305.61 is: 390,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,733.54 : 707,586.55 = 283,305.61 : x
  2. Step 2: Convert to fraction form
    512,733.54/707,586.55 = 283,305.61/x
  3. Step 3: Cross multiply
    512,733.54x = 707,586.55 × 283,305.61
  4. Step 4: Simplify right side
    512,733.54x = 200,463,239,175.55
  5. Step 5: Solve for x
    x = 200,463,239,175.55/512,733.54
  6. Step 6: Final answer
    x = 390,969.62

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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.