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Finding the Fourth Proportional to 271,907.10, 407,860.65 and 171,523.80

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Solution

The fourth proportional to 271,907.10, 407,860.65 and 171,523.80 is: 257,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,907.10 : 407,860.65 = 171,523.80 : x
  2. Step 2: Convert to fraction form
    271,907.10/407,860.65 = 171,523.80/x
  3. Step 3: Cross multiply
    271,907.10x = 407,860.65 × 171,523.80
  4. Step 4: Simplify right side
    271,907.10x = 69,957,808,558.47
  5. Step 5: Solve for x
    x = 69,957,808,558.47/271,907.10
  6. Step 6: Final answer
    x = 257,285.70

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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.