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Finding the Fourth Proportional to 271,741.76, 407,426.56 and 138,363.84

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Solution

The fourth proportional to 271,741.76, 407,426.56 and 138,363.84 is: 207,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,741.76 : 407,426.56 = 138,363.84 : x
  2. Step 2: Convert to fraction form
    271,741.76/407,426.56 = 138,363.84/x
  3. Step 3: Cross multiply
    271,741.76x = 407,426.56 × 138,363.84
  4. Step 4: Simplify right side
    271,741.76x = 56,373,103,359.59
  5. Step 5: Solve for x
    x = 56,373,103,359.59/271,741.76
  6. Step 6: Final answer
    x = 207,451.01

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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.