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Finding the Fourth Proportional to 271,626.90, 407,112.30 and 138,438.60

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Solution

The fourth proportional to 271,626.90, 407,112.30 and 138,438.60 is: 207,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,626.90 : 407,112.30 = 138,438.60 : x
  2. Step 2: Convert to fraction form
    271,626.90/407,112.30 = 138,438.60/x
  3. Step 3: Cross multiply
    271,626.90x = 407,112.30 × 138,438.60
  4. Step 4: Simplify right side
    271,626.90x = 56,360,056,854.78
  5. Step 5: Solve for x
    x = 56,360,056,854.78/271,626.90
  6. Step 6: Final answer
    x = 207,490.70

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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.