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Finding the Fourth Proportional to 206,682.30, 310,023.45 and 180,438.30

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Solution

The fourth proportional to 206,682.30, 310,023.45 and 180,438.30 is: 270,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682.30 : 310,023.45 = 180,438.30 : x
  2. Step 2: Convert to fraction form
    206,682.30/310,023.45 = 180,438.30/x
  3. Step 3: Cross multiply
    206,682.30x = 310,023.45 × 180,438.30
  4. Step 4: Simplify right side
    206,682.30x = 55,940,104,278.14
  5. Step 5: Solve for x
    x = 55,940,104,278.14/206,682.30
  6. Step 6: Final answer
    x = 270,657.45

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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.