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Finding the Fourth Proportional to 515,472.81, 711,318.29 and 286,015.54

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Solution

The fourth proportional to 515,472.81, 711,318.29 and 286,015.54 is: 394,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,472.81 : 711,318.29 = 286,015.54 : x
  2. Step 2: Convert to fraction form
    515,472.81/711,318.29 = 286,015.54/x
  3. Step 3: Cross multiply
    515,472.81x = 711,318.29 × 286,015.54
  4. Step 4: Simplify right side
    515,472.81x = 203,448,084,826.23
  5. Step 5: Solve for x
    x = 203,448,084,826.23/515,472.81
  6. Step 6: Final answer
    x = 394,682.48

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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.