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Finding the Fourth Proportional to 282,380.52, 423,008.34 and 206,638.64

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Solution

The fourth proportional to 282,380.52, 423,008.34 and 206,638.64 is: 309,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,380.52 : 423,008.34 = 206,638.64 : x
  2. Step 2: Convert to fraction form
    282,380.52/423,008.34 = 206,638.64/x
  3. Step 3: Cross multiply
    282,380.52x = 423,008.34 × 206,638.64
  4. Step 4: Simplify right side
    282,380.52x = 87,409,868,086.26
  5. Step 5: Solve for x
    x = 87,409,868,086.26/282,380.52
  6. Step 6: Final answer
    x = 309,546.38

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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.