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Finding the Fourth Proportional to 271,615.80, 408,038.10 and 188,671.80

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Solution

The fourth proportional to 271,615.80, 408,038.10 and 188,671.80 is: 283,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,615.80 : 408,038.10 = 188,671.80 : x
  2. Step 2: Convert to fraction form
    271,615.80/408,038.10 = 188,671.80/x
  3. Step 3: Cross multiply
    271,615.80x = 408,038.10 × 188,671.80
  4. Step 4: Simplify right side
    271,615.80x = 76,985,282,795.58
  5. Step 5: Solve for x
    x = 76,985,282,795.58/271,615.80
  6. Step 6: Final answer
    x = 283,434.48

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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.