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Finding the Fourth Proportional to 280,011.84, 419,848.86 and 111,558.17

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Solution

The fourth proportional to 280,011.84, 419,848.86 and 111,558.17 is: 167,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,011.84 : 419,848.86 = 111,558.17 : x
  2. Step 2: Convert to fraction form
    280,011.84/419,848.86 = 111,558.17/x
  3. Step 3: Cross multiply
    280,011.84x = 419,848.86 × 111,558.17
  4. Step 4: Simplify right side
    280,011.84x = 46,837,568,398.94
  5. Step 5: Solve for x
    x = 46,837,568,398.94/280,011.84
  6. Step 6: Final answer
    x = 167,269.96

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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.