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Finding the Fourth Proportional to 280,732.14, 420,700.14 and 217,256.78

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Solution

The fourth proportional to 280,732.14, 420,700.14 and 217,256.78 is: 325,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,732.14 : 420,700.14 = 217,256.78 : x
  2. Step 2: Convert to fraction form
    280,732.14/420,700.14 = 217,256.78/x
  3. Step 3: Cross multiply
    280,732.14x = 420,700.14 × 217,256.78
  4. Step 4: Simplify right side
    280,732.14x = 91,399,958,813.70
  5. Step 5: Solve for x
    x = 91,399,958,813.70/280,732.14
  6. Step 6: Final answer
    x = 325,577.11

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1.5x scale

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.