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Finding the Fourth Proportional to 491,883.34, 678,847.41 and 287,921.89

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Solution

The fourth proportional to 491,883.34, 678,847.41 and 287,921.89 is: 397,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,883.34 : 678,847.41 = 287,921.89 : x
  2. Step 2: Convert to fraction form
    491,883.34/678,847.41 = 287,921.89/x
  3. Step 3: Cross multiply
    491,883.34x = 678,847.41 × 287,921.89
  4. Step 4: Simplify right side
    491,883.34x = 195,455,029,308.81
  5. Step 5: Solve for x
    x = 195,455,029,308.81/491,883.34
  6. Step 6: Final answer
    x = 397,360.54

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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.