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Finding the Fourth Proportional to 416,698.32, 625,076.64 and 206,279.76

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Solution

The fourth proportional to 416,698.32, 625,076.64 and 206,279.76 is: 309,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,698.32 : 625,076.64 = 206,279.76 : x
  2. Step 2: Convert to fraction form
    416,698.32/625,076.64 = 206,279.76/x
  3. Step 3: Cross multiply
    416,698.32x = 625,076.64 × 206,279.76
  4. Step 4: Simplify right side
    416,698.32x = 128,940,659,280.81
  5. Step 5: Solve for x
    x = 128,940,659,280.81/416,698.32
  6. Step 6: Final answer
    x = 309,434.08

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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.