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Finding the Fourth Proportional to 279,702.56, 419,319.48 and 111,116.72

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Solution

The fourth proportional to 279,702.56, 419,319.48 and 111,116.72 is: 166,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,702.56 : 419,319.48 = 111,116.72 : x
  2. Step 2: Convert to fraction form
    279,702.56/419,319.48 = 111,116.72/x
  3. Step 3: Cross multiply
    279,702.56x = 419,319.48 × 111,116.72
  4. Step 4: Simplify right side
    279,702.56x = 46,593,405,249.71
  5. Step 5: Solve for x
    x = 46,593,405,249.71/279,702.56
  6. Step 6: Final answer
    x = 166,581.98

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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.