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Finding the Fourth Proportional to 478,201.44, 659,911.50 and 271,468.05

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Solution

The fourth proportional to 478,201.44, 659,911.50 and 271,468.05 is: 374,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,201.44 : 659,911.50 = 271,468.05 : x
  2. Step 2: Convert to fraction form
    478,201.44/659,911.50 = 271,468.05/x
  3. Step 3: Cross multiply
    478,201.44x = 659,911.50 × 271,468.05
  4. Step 4: Simplify right side
    478,201.44x = 179,144,888,077.58
  5. Step 5: Solve for x
    x = 179,144,888,077.58/478,201.44
  6. Step 6: Final answer
    x = 374,622.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.