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Finding the Fourth Proportional to 1,309,976.89, 1,964,965.17 and 363,347.61

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Solution

The fourth proportional to 1,309,976.89, 1,964,965.17 and 363,347.61 is: 545,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,976.89 : 1,964,965.17 = 363,347.61 : x
  2. Step 2: Convert to fraction form
    1,309,976.89/1,964,965.17 = 363,347.61/x
  3. Step 3: Cross multiply
    1,309,976.89x = 1,964,965.17 × 363,347.61
  4. Step 4: Simplify right side
    1,309,976.89x = 713,965,398,252.74
  5. Step 5: Solve for x
    x = 713,965,398,252.74/1,309,976.89
  6. Step 6: Final answer
    x = 545,021.37

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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.