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Finding the Fourth Proportional to 299,858.63, 449,788.01 and 78,242.63

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Solution

The fourth proportional to 299,858.63, 449,788.01 and 78,242.63 is: 117,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,858.63 : 449,788.01 = 78,242.63 : x
  2. Step 2: Convert to fraction form
    299,858.63/449,788.01 = 78,242.63/x
  3. Step 3: Cross multiply
    299,858.63x = 449,788.01 × 78,242.63
  4. Step 4: Simplify right side
    299,858.63x = 35,192,594,204.71
  5. Step 5: Solve for x
    x = 35,192,594,204.71/299,858.63
  6. Step 6: Final answer
    x = 117,363.96

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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.