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Finding the Fourth Proportional to 456,078.26, 684,105.87 and 123,645.62

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Solution

The fourth proportional to 456,078.26, 684,105.87 and 123,645.62 is: 185,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,078.26 : 684,105.87 = 123,645.62 : x
  2. Step 2: Convert to fraction form
    456,078.26/684,105.87 = 123,645.62/x
  3. Step 3: Cross multiply
    456,078.26x = 684,105.87 × 123,645.62
  4. Step 4: Simplify right side
    456,078.26x = 84,586,694,441.79
  5. Step 5: Solve for x
    x = 84,586,694,441.79/456,078.26
  6. Step 6: Final answer
    x = 185,465.31

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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.