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Finding the Fourth Proportional to 517,245.98, 713,753.25 and 287,795.66

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Solution

The fourth proportional to 517,245.98, 713,753.25 and 287,795.66 is: 397,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,245.98 : 713,753.25 = 287,795.66 : x
  2. Step 2: Convert to fraction form
    517,245.98/713,753.25 = 287,795.66/x
  3. Step 3: Cross multiply
    517,245.98x = 713,753.25 × 287,795.66
  4. Step 4: Simplify right side
    517,245.98x = 205,415,087,660.90
  5. Step 5: Solve for x
    x = 205,415,087,660.90/517,245.98
  6. Step 6: Final answer
    x = 397,132.30

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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.