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Finding the Fourth Proportional to 491,883.31, 678,847.40 and 287,921.89

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Solution

The fourth proportional to 491,883.31, 678,847.40 and 287,921.89 is: 397,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,883.31 : 678,847.40 = 287,921.89 : x
  2. Step 2: Convert to fraction form
    491,883.31/678,847.40 = 287,921.89/x
  3. Step 3: Cross multiply
    491,883.31x = 678,847.40 × 287,921.89
  4. Step 4: Simplify right side
    491,883.31x = 195,455,026,429.59
  5. Step 5: Solve for x
    x = 195,455,026,429.59/491,883.31
  6. Step 6: Final answer
    x = 397,360.56

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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.