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Finding the Fourth Proportional to 458,069.78, 687,372.57 and 191,808

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Solution

The fourth proportional to 458,069.78, 687,372.57 and 191,808 is: 287,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,069.78 : 687,372.57 = 191,808 : x
  2. Step 2: Convert to fraction form
    458,069.78/687,372.57 = 191,808/x
  3. Step 3: Cross multiply
    458,069.78x = 687,372.57 × 191,808
  4. Step 4: Simplify right side
    458,069.78x = 131,843,557,906.56
  5. Step 5: Solve for x
    x = 131,843,557,906.56/458,069.78
  6. Step 6: Final answer
    x = 287,824.18

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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.