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Finding the Fourth Proportional to 1,309,986.36, 1,964,979.42 and 363,357.12

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Solution

The fourth proportional to 1,309,986.36, 1,964,979.42 and 363,357.12 is: 545,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,986.36 : 1,964,979.42 = 363,357.12 : x
  2. Step 2: Convert to fraction form
    1,309,986.36/1,964,979.42 = 363,357.12/x
  3. Step 3: Cross multiply
    1,309,986.36x = 1,964,979.42 × 363,357.12
  4. Step 4: Simplify right side
    1,309,986.36x = 713,989,262,910.47
  5. Step 5: Solve for x
    x = 713,989,262,910.47/1,309,986.36
  6. Step 6: Final answer
    x = 545,035.65

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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.