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Finding the Fourth Proportional to 279,879.30, 419,570.39 and 109,061.47

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Solution

The fourth proportional to 279,879.30, 419,570.39 and 109,061.47 is: 163,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,879.30 : 419,570.39 = 109,061.47 : x
  2. Step 2: Convert to fraction form
    279,879.30/419,570.39 = 109,061.47/x
  3. Step 3: Cross multiply
    279,879.30x = 419,570.39 × 109,061.47
  4. Step 4: Simplify right side
    279,879.30x = 45,758,962,725.60
  5. Step 5: Solve for x
    x = 45,758,962,725.60/279,879.30
  6. Step 6: Final answer
    x = 163,495.35

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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.