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Finding the Fourth Proportional to 271,339.17, 407,012.21 and 102,814.22

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Solution

The fourth proportional to 271,339.17, 407,012.21 and 102,814.22 is: 154,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,339.17 : 407,012.21 = 102,814.22 : x
  2. Step 2: Convert to fraction form
    271,339.17/407,012.21 = 102,814.22/x
  3. Step 3: Cross multiply
    271,339.17x = 407,012.21 × 102,814.22
  4. Step 4: Simplify right side
    271,339.17x = 41,846,640,352.49
  5. Step 5: Solve for x
    x = 41,846,640,352.49/271,339.17
  6. Step 6: Final answer
    x = 154,222.63

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1.5x scale

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.