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Finding the Fourth Proportional to 271,804.40, 407,378.55 and 138,616.10

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Solution

The fourth proportional to 271,804.40, 407,378.55 and 138,616.10 is: 207,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,804.40 : 407,378.55 = 138,616.10 : x
  2. Step 2: Convert to fraction form
    271,804.40/407,378.55 = 138,616.10/x
  3. Step 3: Cross multiply
    271,804.40x = 407,378.55 × 138,616.10
  4. Step 4: Simplify right side
    271,804.40x = 56,469,225,824.66
  5. Step 5: Solve for x
    x = 56,469,225,824.66/271,804.40
  6. Step 6: Final answer
    x = 207,756.85

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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.