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Finding the Fourth Proportional to 280,484.19, 420,414.63 and 213,704.15

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Solution

The fourth proportional to 280,484.19, 420,414.63 and 213,704.15 is: 320,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,484.19 : 420,414.63 = 213,704.15 : x
  2. Step 2: Convert to fraction form
    280,484.19/420,414.63 = 213,704.15/x
  3. Step 3: Cross multiply
    280,484.19x = 420,414.63 × 213,704.15
  4. Step 4: Simplify right side
    280,484.19x = 89,844,349,049.64
  5. Step 5: Solve for x
    x = 89,844,349,049.64/280,484.19
  6. Step 6: Final answer
    x = 320,318.76

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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.