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Finding the Fourth Proportional to 1,122,993, 1,683,478.62 and 412,869.24

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Solution

The fourth proportional to 1,122,993, 1,683,478.62 and 412,869.24 is: 618,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,993 : 1,683,478.62 = 412,869.24 : x
  2. Step 2: Convert to fraction form
    1,122,993/1,683,478.62 = 412,869.24/x
  3. Step 3: Cross multiply
    1,122,993x = 1,683,478.62 × 412,869.24
  4. Step 4: Simplify right side
    1,122,993x = 695,056,538,395.65
  5. Step 5: Solve for x
    x = 695,056,538,395.65/1,122,993
  6. Step 6: Final answer
    x = 618,932.21

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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.