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Finding the Fourth Proportional to 271,322.40, 407,042.07 and 91,425.86

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Solution

The fourth proportional to 271,322.40, 407,042.07 and 91,425.86 is: 137,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,322.40 : 407,042.07 = 91,425.86 : x
  2. Step 2: Convert to fraction form
    271,322.40/407,042.07 = 91,425.86/x
  3. Step 3: Cross multiply
    271,322.40x = 407,042.07 × 91,425.86
  4. Step 4: Simplify right side
    271,322.40x = 37,214,169,270.72
  5. Step 5: Solve for x
    x = 37,214,169,270.72/271,322.40
  6. Step 6: Final answer
    x = 137,158.48

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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.