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Finding the Fourth Proportional to 280,487.67, 420,969.30 and 112,126.87

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Solution

The fourth proportional to 280,487.67, 420,969.30 and 112,126.87 is: 168,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,487.67 : 420,969.30 = 112,126.87 : x
  2. Step 2: Convert to fraction form
    280,487.67/420,969.30 = 112,126.87/x
  3. Step 3: Cross multiply
    280,487.67x = 420,969.30 × 112,126.87
  4. Step 4: Simplify right side
    280,487.67x = 47,201,969,975.09
  5. Step 5: Solve for x
    x = 47,201,969,975.09/280,487.67
  6. Step 6: Final answer
    x = 168,285.37

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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.