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Finding the Fourth Proportional to 491,885.45, 678,850.34 and 287,924.00

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Solution

The fourth proportional to 491,885.45, 678,850.34 and 287,924.00 is: 397,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,885.45 : 678,850.34 = 287,924.00 : x
  2. Step 2: Convert to fraction form
    491,885.45/678,850.34 = 287,924.00/x
  3. Step 3: Cross multiply
    491,885.45x = 678,850.34 × 287,924.00
  4. Step 4: Simplify right side
    491,885.45x = 195,457,305,551.67
  5. Step 5: Solve for x
    x = 195,457,305,551.67/491,885.45
  6. Step 6: Final answer
    x = 397,363.47

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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.