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Finding the Fourth Proportional to 517,346.29, 713,930.56 and 290,991.25

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Solution

The fourth proportional to 517,346.29, 713,930.56 and 290,991.25 is: 401,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,346.29 : 713,930.56 = 290,991.25 : x
  2. Step 2: Convert to fraction form
    517,346.29/713,930.56 = 290,991.25/x
  3. Step 3: Cross multiply
    517,346.29x = 713,930.56 × 290,991.25
  4. Step 4: Simplify right side
    517,346.29x = 207,747,546,067.60
  5. Step 5: Solve for x
    x = 207,747,546,067.60/517,346.29
  6. Step 6: Final answer
    x = 401,563.81

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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.