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Finding the Fourth Proportional to 271,940.62, 375,284.76 and 149,432

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Solution

The fourth proportional to 271,940.62, 375,284.76 and 149,432 is: 206,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,940.62 : 375,284.76 = 149,432 : x
  2. Step 2: Convert to fraction form
    271,940.62/375,284.76 = 149,432/x
  3. Step 3: Cross multiply
    271,940.62x = 375,284.76 × 149,432
  4. Step 4: Simplify right side
    271,940.62x = 56,079,552,256.32
  5. Step 5: Solve for x
    x = 56,079,552,256.32/271,940.62
  6. Step 6: Final answer
    x = 206,219.84

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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.