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Finding the Fourth Proportional to 299,105.20, 448,657.80 and 272,861.20

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Solution

The fourth proportional to 299,105.20, 448,657.80 and 272,861.20 is: 409,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,105.20 : 448,657.80 = 272,861.20 : x
  2. Step 2: Convert to fraction form
    299,105.20/448,657.80 = 272,861.20/x
  3. Step 3: Cross multiply
    299,105.20x = 448,657.80 × 272,861.20
  4. Step 4: Simplify right side
    299,105.20x = 122,421,305,697.36
  5. Step 5: Solve for x
    x = 122,421,305,697.36/299,105.20
  6. Step 6: Final answer
    x = 409,291.80

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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.