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Finding the Fourth Proportional to 515,474.00, 711,319.93 and 286,016.73

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Solution

The fourth proportional to 515,474.00, 711,319.93 and 286,016.73 is: 394,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,474.00 : 711,319.93 = 286,016.73 : x
  2. Step 2: Convert to fraction form
    515,474.00/711,319.93 = 286,016.73/x
  3. Step 3: Cross multiply
    515,474.00x = 711,319.93 × 286,016.73
  4. Step 4: Simplify right side
    515,474.00x = 203,449,400,362.43
  5. Step 5: Solve for x
    x = 203,449,400,362.43/515,474.00
  6. Step 6: Final answer
    x = 394,684.12

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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.