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Finding the Fourth Proportional to 299,724.60, 449,586.90 and 78,108.60

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Solution

The fourth proportional to 299,724.60, 449,586.90 and 78,108.60 is: 117,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,724.60 : 449,586.90 = 78,108.60 : x
  2. Step 2: Convert to fraction form
    299,724.60/449,586.90 = 78,108.60/x
  3. Step 3: Cross multiply
    299,724.60x = 449,586.90 × 78,108.60
  4. Step 4: Simplify right side
    299,724.60x = 35,116,603,337.34
  5. Step 5: Solve for x
    x = 35,116,603,337.34/299,724.60
  6. Step 6: Final answer
    x = 117,162.90

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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.