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Finding the Fourth Proportional to 299,317.70, 448,976.55 and 99,644.60

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Solution

The fourth proportional to 299,317.70, 448,976.55 and 99,644.60 is: 149,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,317.70 : 448,976.55 = 99,644.60 : x
  2. Step 2: Convert to fraction form
    299,317.70/448,976.55 = 99,644.60/x
  3. Step 3: Cross multiply
    299,317.70x = 448,976.55 × 99,644.60
  4. Step 4: Simplify right side
    299,317.70x = 44,738,088,734.13
  5. Step 5: Solve for x
    x = 44,738,088,734.13/299,317.70
  6. Step 6: Final answer
    x = 149,466.90

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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.