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Finding the Fourth Proportional to 279,833.65, 419,832.51 and 90,323.26

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Solution

The fourth proportional to 279,833.65, 419,832.51 and 90,323.26 is: 135,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,833.65 : 419,832.51 = 90,323.26 : x
  2. Step 2: Convert to fraction form
    279,833.65/419,832.51 = 90,323.26/x
  3. Step 3: Cross multiply
    279,833.65x = 419,832.51 × 90,323.26
  4. Step 4: Simplify right side
    279,833.65x = 37,920,640,957.18
  5. Step 5: Solve for x
    x = 37,920,640,957.18/279,833.65
  6. Step 6: Final answer
    x = 135,511.37

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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.