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Finding the Fourth Proportional to 512,959.05, 707,969.60 and 347,311.89

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Solution

The fourth proportional to 512,959.05, 707,969.60 and 347,311.89 is: 479,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,959.05 : 707,969.60 = 347,311.89 : x
  2. Step 2: Convert to fraction form
    512,959.05/707,969.60 = 347,311.89/x
  3. Step 3: Cross multiply
    512,959.05x = 707,969.60 × 347,311.89
  4. Step 4: Simplify right side
    512,959.05x = 245,886,259,404.40
  5. Step 5: Solve for x
    x = 245,886,259,404.40/512,959.05
  6. Step 6: Final answer
    x = 479,348.71

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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.