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Finding the Fourth Proportional to 271,625.90, 407,110.80 and 138,437.60

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Solution

The fourth proportional to 271,625.90, 407,110.80 and 138,437.60 is: 207,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,625.90 : 407,110.80 = 138,437.60 : x
  2. Step 2: Convert to fraction form
    271,625.90/407,110.80 = 138,437.60/x
  3. Step 3: Cross multiply
    271,625.90x = 407,110.80 × 138,437.60
  4. Step 4: Simplify right side
    271,625.90x = 56,359,442,086.08
  5. Step 5: Solve for x
    x = 56,359,442,086.08/271,625.90
  6. Step 6: Final answer
    x = 207,489.21

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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.