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Finding the Fourth Proportional to 1,311,387.86, 1,965,914.78 and 512,487.69

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Solution

The fourth proportional to 1,311,387.86, 1,965,914.78 and 512,487.69 is: 768,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,387.86 : 1,965,914.78 = 512,487.69 : x
  2. Step 2: Convert to fraction form
    1,311,387.86/1,965,914.78 = 512,487.69/x
  3. Step 3: Cross multiply
    1,311,387.86x = 1,965,914.78 × 512,487.69
  4. Step 4: Simplify right side
    1,311,387.86x = 1,007,507,121,776.62
  5. Step 5: Solve for x
    x = 1,007,507,121,776.62/1,311,387.86
  6. Step 6: Final answer
    x = 768,275.47

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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.