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Finding the Fourth Proportional to 280,027.04, 419,870.88 and 111,572.96

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Solution

The fourth proportional to 280,027.04, 419,870.88 and 111,572.96 is: 167,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,027.04 : 419,870.88 = 111,572.96 : x
  2. Step 2: Convert to fraction form
    280,027.04/419,870.88 = 111,572.96/x
  3. Step 3: Cross multiply
    280,027.04x = 419,870.88 × 111,572.96
  4. Step 4: Simplify right side
    280,027.04x = 46,846,236,899.40
  5. Step 5: Solve for x
    x = 46,846,236,899.40/280,027.04
  6. Step 6: Final answer
    x = 167,291.83

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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.