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Finding the Fourth Proportional to 515,672.82, 711,617.46 and 286,216.73

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Solution

The fourth proportional to 515,672.82, 711,617.46 and 286,216.73 is: 394,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,672.82 : 711,617.46 = 286,216.73 : x
  2. Step 2: Convert to fraction form
    515,672.82/711,617.46 = 286,216.73/x
  3. Step 3: Cross multiply
    515,672.82x = 711,617.46 × 286,216.73
  4. Step 4: Simplify right side
    515,672.82x = 203,676,822,412.11
  5. Step 5: Solve for x
    x = 203,676,822,412.11/515,672.82
  6. Step 6: Final answer
    x = 394,972.96

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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.