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Finding the Fourth Proportional to 280,301.42, 420,523.14 and 80,617.52

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Solution

The fourth proportional to 280,301.42, 420,523.14 and 80,617.52 is: 120,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,301.42 : 420,523.14 = 80,617.52 : x
  2. Step 2: Convert to fraction form
    280,301.42/420,523.14 = 80,617.52/x
  3. Step 3: Cross multiply
    280,301.42x = 420,523.14 × 80,617.52
  4. Step 4: Simplify right side
    280,301.42x = 33,901,532,649.41
  5. Step 5: Solve for x
    x = 33,901,532,649.41/280,301.42
  6. Step 6: Final answer
    x = 120,946.70

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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.