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Finding the Fourth Proportional to 276,302.30, 414,453.45 and 206,318.30

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Solution

The fourth proportional to 276,302.30, 414,453.45 and 206,318.30 is: 309,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,302.30 : 414,453.45 = 206,318.30 : x
  2. Step 2: Convert to fraction form
    276,302.30/414,453.45 = 206,318.30/x
  3. Step 3: Cross multiply
    276,302.30x = 414,453.45 × 206,318.30
  4. Step 4: Simplify right side
    276,302.30x = 85,509,331,233.14
  5. Step 5: Solve for x
    x = 85,509,331,233.14/276,302.30
  6. Step 6: Final answer
    x = 309,477.45

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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.