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Finding the Fourth Proportional to 299,105.20, 448,001.70 and 259,739.20

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Solution

The fourth proportional to 299,105.20, 448,001.70 and 259,739.20 is: 389,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,105.20 : 448,001.70 = 259,739.20 : x
  2. Step 2: Convert to fraction form
    299,105.20/448,001.70 = 259,739.20/x
  3. Step 3: Cross multiply
    299,105.20x = 448,001.70 × 259,739.20
  4. Step 4: Simplify right side
    299,105.20x = 116,363,603,156.64
  5. Step 5: Solve for x
    x = 116,363,603,156.64/299,105.20
  6. Step 6: Final answer
    x = 389,039.05

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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.