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Finding the Fourth Proportional to 280,304.42, 420,527.64 and 80,620.52

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Solution

The fourth proportional to 280,304.42, 420,527.64 and 80,620.52 is: 120,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,304.42 : 420,527.64 = 80,620.52 : x
  2. Step 2: Convert to fraction form
    280,304.42/420,527.64 = 80,620.52/x
  3. Step 3: Cross multiply
    280,304.42x = 420,527.64 × 80,620.52
  4. Step 4: Simplify right side
    280,304.42x = 33,903,157,011.17
  5. Step 5: Solve for x
    x = 33,903,157,011.17/280,304.42
  6. Step 6: Final answer
    x = 120,951.20

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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.