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Finding the Fourth Proportional to 1,309,972.39, 1,964,958.43 and 363,343.11

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Solution

The fourth proportional to 1,309,972.39, 1,964,958.43 and 363,343.11 is: 545,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,972.39 : 1,964,958.43 = 363,343.11 : x
  2. Step 2: Convert to fraction form
    1,309,972.39/1,964,958.43 = 363,343.11/x
  3. Step 3: Cross multiply
    1,309,972.39x = 1,964,958.43 × 363,343.11
  4. Step 4: Simplify right side
    1,309,972.39x = 713,954,106,976.92
  5. Step 5: Solve for x
    x = 713,954,106,976.92/1,309,972.39
  6. Step 6: Final answer
    x = 545,014.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.