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Finding the Fourth Proportional to 271,440.51, 407,115.40 and 84,437.43

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Solution

The fourth proportional to 271,440.51, 407,115.40 and 84,437.43 is: 126,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,440.51 : 407,115.40 = 84,437.43 : x
  2. Step 2: Convert to fraction form
    271,440.51/407,115.40 = 84,437.43/x
  3. Step 3: Cross multiply
    271,440.51x = 407,115.40 × 84,437.43
  4. Step 4: Simplify right side
    271,440.51x = 34,375,778,089.42
  5. Step 5: Solve for x
    x = 34,375,778,089.42/271,440.51
  6. Step 6: Final answer
    x = 126,642.03

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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.