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Finding the Fourth Proportional to 271,415.54, 406,479.72 and 215,074.46

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Solution

The fourth proportional to 271,415.54, 406,479.72 and 215,074.46 is: 322,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,415.54 : 406,479.72 = 215,074.46 : x
  2. Step 2: Convert to fraction form
    271,415.54/406,479.72 = 215,074.46/x
  3. Step 3: Cross multiply
    271,415.54x = 406,479.72 × 215,074.46
  4. Step 4: Simplify right side
    271,415.54x = 87,423,404,247.55
  5. Step 5: Solve for x
    x = 87,423,404,247.55/271,415.54
  6. Step 6: Final answer
    x = 322,101.70

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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.