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Finding the Fourth Proportional to 271,810.60, 407,715.90 and 171,427.30

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Solution

The fourth proportional to 271,810.60, 407,715.90 and 171,427.30 is: 257,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810.60 : 407,715.90 = 171,427.30 : x
  2. Step 2: Convert to fraction form
    271,810.60/407,715.90 = 171,427.30/x
  3. Step 3: Cross multiply
    271,810.60x = 407,715.90 × 171,427.30
  4. Step 4: Simplify right side
    271,810.60x = 69,893,635,904.07
  5. Step 5: Solve for x
    x = 69,893,635,904.07/271,810.60
  6. Step 6: Final answer
    x = 257,140.95

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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.