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Finding the Fourth Proportional to 301,874.11, 416,147.28 and 210,947.86

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Solution

The fourth proportional to 301,874.11, 416,147.28 and 210,947.86 is: 290,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,874.11 : 416,147.28 = 210,947.86 : x
  2. Step 2: Convert to fraction form
    301,874.11/416,147.28 = 210,947.86/x
  3. Step 3: Cross multiply
    301,874.11x = 416,147.28 × 210,947.86
  4. Step 4: Simplify right side
    301,874.11x = 87,785,377,889.95
  5. Step 5: Solve for x
    x = 87,785,377,889.95/301,874.11
  6. Step 6: Final answer
    x = 290,801.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.