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Finding the Fourth Proportional to 1,424,651.92, 1,966,072.56 and 812,904.24

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Solution

The fourth proportional to 1,424,651.92, 1,966,072.56 and 812,904.24 is: 1,121,838.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,651.92 : 1,966,072.56 = 812,904.24 : x
  2. Step 2: Convert to fraction form
    1,424,651.92/1,966,072.56 = 812,904.24/x
  3. Step 3: Cross multiply
    1,424,651.92x = 1,966,072.56 × 812,904.24
  4. Step 4: Simplify right side
    1,424,651.92x = 1,598,228,720,171.65
  5. Step 5: Solve for x
    x = 1,598,228,720,171.65/1,424,651.92
  6. Step 6: Final answer
    x = 1,121,838.04

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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.