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Finding the Fourth Proportional to 305,179.95, 457,676.43 and 211,015.25

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Solution

The fourth proportional to 305,179.95, 457,676.43 and 211,015.25 is: 316,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,179.95 : 457,676.43 = 211,015.25 : x
  2. Step 2: Convert to fraction form
    305,179.95/457,676.43 = 211,015.25/x
  3. Step 3: Cross multiply
    305,179.95x = 457,676.43 × 211,015.25
  4. Step 4: Simplify right side
    305,179.95x = 96,576,704,932.15
  5. Step 5: Solve for x
    x = 96,576,704,932.15/305,179.95
  6. Step 6: Final answer
    x = 316,458.22

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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.