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Finding the Fourth Proportional to 271,419.94, 407,000.49 and 121,661.47

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Solution

The fourth proportional to 271,419.94, 407,000.49 and 121,661.47 is: 182,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,419.94 : 407,000.49 = 121,661.47 : x
  2. Step 2: Convert to fraction form
    271,419.94/407,000.49 = 121,661.47/x
  3. Step 3: Cross multiply
    271,419.94x = 407,000.49 × 121,661.47
  4. Step 4: Simplify right side
    271,419.94x = 49,516,277,904.12
  5. Step 5: Solve for x
    x = 49,516,277,904.12/271,419.94
  6. Step 6: Final answer
    x = 182,434.19

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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.