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Finding the Fourth Proportional to 517,425.87, 714,071.17 and 287,997.80

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Solution

The fourth proportional to 517,425.87, 714,071.17 and 287,997.80 is: 397,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,425.87 : 714,071.17 = 287,997.80 : x
  2. Step 2: Convert to fraction form
    517,425.87/714,071.17 = 287,997.80/x
  3. Step 3: Cross multiply
    517,425.87x = 714,071.17 × 287,997.80
  4. Step 4: Simplify right side
    517,425.87x = 205,650,926,003.43
  5. Step 5: Solve for x
    x = 205,650,926,003.43/517,425.87
  6. Step 6: Final answer
    x = 397,450.03

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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.