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Finding the Fourth Proportional to 280,562.94, 420,567.39 and 111,981.69

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Solution

The fourth proportional to 280,562.94, 420,567.39 and 111,981.69 is: 167,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,562.94 : 420,567.39 = 111,981.69 : x
  2. Step 2: Convert to fraction form
    280,562.94/420,567.39 = 111,981.69/x
  3. Step 3: Cross multiply
    280,562.94x = 420,567.39 × 111,981.69
  4. Step 4: Simplify right side
    280,562.94x = 47,095,847,091.09
  5. Step 5: Solve for x
    x = 47,095,847,091.09/280,562.94
  6. Step 6: Final answer
    x = 167,861.97

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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.