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Finding the Fourth Proportional to 1,424,463, 1,965,753.72 and 812,614.76

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Solution

The fourth proportional to 1,424,463, 1,965,753.72 and 812,614.76 is: 1,121,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,463 : 1,965,753.72 = 812,614.76 : x
  2. Step 2: Convert to fraction form
    1,424,463/1,965,753.72 = 812,614.76/x
  3. Step 3: Cross multiply
    1,424,463x = 1,965,753.72 × 812,614.76
  4. Step 4: Simplify right side
    1,424,463x = 1,597,400,487,396.91
  5. Step 5: Solve for x
    x = 1,597,400,487,396.91/1,424,463
  6. Step 6: Final answer
    x = 1,121,405.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.