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Finding the Fourth Proportional to 515,709.25, 711,691.03 and 289,371.49

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Solution

The fourth proportional to 515,709.25, 711,691.03 and 289,371.49 is: 399,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,709.25 : 711,691.03 = 289,371.49 : x
  2. Step 2: Convert to fraction form
    515,709.25/711,691.03 = 289,371.49/x
  3. Step 3: Cross multiply
    515,709.25x = 711,691.03 × 289,371.49
  4. Step 4: Simplify right side
    515,709.25x = 205,943,092,323.88
  5. Step 5: Solve for x
    x = 205,943,092,323.88/515,709.25
  6. Step 6: Final answer
    x = 399,339.54

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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.