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Finding the Fourth Proportional to 299,733.60, 449,381.70 and 122,149.20

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Solution

The fourth proportional to 299,733.60, 449,381.70 and 122,149.20 is: 183,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,733.60 : 449,381.70 = 122,149.20 : x
  2. Step 2: Convert to fraction form
    299,733.60/449,381.70 = 122,149.20/x
  3. Step 3: Cross multiply
    299,733.60x = 449,381.70 × 122,149.20
  4. Step 4: Simplify right side
    299,733.60x = 54,891,615,149.64
  5. Step 5: Solve for x
    x = 54,891,615,149.64/299,733.60
  6. Step 6: Final answer
    x = 183,134.67

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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.