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Finding the Fourth Proportional to 515,665.25, 711,604.41 and 286,221.92

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Solution

The fourth proportional to 515,665.25, 711,604.41 and 286,221.92 is: 394,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,665.25 : 711,604.41 = 286,221.92 : x
  2. Step 2: Convert to fraction form
    515,665.25/711,604.41 = 286,221.92/x
  3. Step 3: Cross multiply
    515,665.25x = 711,604.41 × 286,221.92
  4. Step 4: Simplify right side
    515,665.25x = 203,676,780,510.67
  5. Step 5: Solve for x
    x = 203,676,780,510.67/515,665.25
  6. Step 6: Final answer
    x = 394,978.68

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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.