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Finding the Fourth Proportional to 416,680.32, 625,049.64 and 206,261.76

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Solution

The fourth proportional to 416,680.32, 625,049.64 and 206,261.76 is: 309,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,680.32 : 625,049.64 = 206,261.76 : x
  2. Step 2: Convert to fraction form
    416,680.32/625,049.64 = 206,261.76/x
  3. Step 3: Cross multiply
    416,680.32x = 625,049.64 × 206,261.76
  4. Step 4: Simplify right side
    416,680.32x = 128,923,838,833.77
  5. Step 5: Solve for x
    x = 128,923,838,833.77/416,680.32
  6. Step 6: Final answer
    x = 309,407.07

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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.