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Finding the Fourth Proportional to 280,751.40, 420,728.94 and 217,276.02

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Solution

The fourth proportional to 280,751.40, 420,728.94 and 217,276.02 is: 325,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,751.40 : 420,728.94 = 217,276.02 : x
  2. Step 2: Convert to fraction form
    280,751.40/420,728.94 = 217,276.02/x
  3. Step 3: Cross multiply
    280,751.40x = 420,728.94 × 217,276.02
  4. Step 4: Simplify right side
    280,751.40x = 91,414,309,582.02
  5. Step 5: Solve for x
    x = 91,414,309,582.02/280,751.40
  6. Step 6: Final answer
    x = 325,605.89

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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.