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Finding the Fourth Proportional to 1,309,975.89, 1,964,963.67 and 363,346.61

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Solution

The fourth proportional to 1,309,975.89, 1,964,963.67 and 363,346.61 is: 545,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,975.89 : 1,964,963.67 = 363,346.61 : x
  2. Step 2: Convert to fraction form
    1,309,975.89/1,964,963.67 = 363,346.61/x
  3. Step 3: Cross multiply
    1,309,975.89x = 1,964,963.67 × 363,346.61
  4. Step 4: Simplify right side
    1,309,975.89x = 713,962,878,442.84
  5. Step 5: Solve for x
    x = 713,962,878,442.84/1,309,975.89
  6. Step 6: Final answer
    x = 545,019.86

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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.