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Finding the Fourth Proportional to 517,215.06, 713,760.30 and 287,782

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Solution

The fourth proportional to 517,215.06, 713,760.30 and 287,782 is: 397,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,215.06 : 713,760.30 = 287,782 : x
  2. Step 2: Convert to fraction form
    517,215.06/713,760.30 = 287,782/x
  3. Step 3: Cross multiply
    517,215.06x = 713,760.30 × 287,782
  4. Step 4: Simplify right side
    517,215.06x = 205,407,366,654.60
  5. Step 5: Solve for x
    x = 205,407,366,654.60/517,215.06
  6. Step 6: Final answer
    x = 397,141.12

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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.