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Finding the Fourth Proportional to 271,630.40, 407,445.60 and 138,770.15

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Solution

The fourth proportional to 271,630.40, 407,445.60 and 138,770.15 is: 208,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,630.40 : 407,445.60 = 138,770.15 : x
  2. Step 2: Convert to fraction form
    271,630.40/407,445.60 = 138,770.15/x
  3. Step 3: Cross multiply
    271,630.40x = 407,445.60 × 138,770.15
  4. Step 4: Simplify right side
    271,630.40x = 56,541,287,028.84
  5. Step 5: Solve for x
    x = 56,541,287,028.84/271,630.40
  6. Step 6: Final answer
    x = 208,155.23

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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.