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Finding the Fourth Proportional to 271,804.60, 407,706.90 and 171,421.30

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Solution

The fourth proportional to 271,804.60, 407,706.90 and 171,421.30 is: 257,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,804.60 : 407,706.90 = 171,421.30 : x
  2. Step 2: Convert to fraction form
    271,804.60/407,706.90 = 171,421.30/x
  3. Step 3: Cross multiply
    271,804.60x = 407,706.90 × 171,421.30
  4. Step 4: Simplify right side
    271,804.60x = 69,889,646,816.97
  5. Step 5: Solve for x
    x = 69,889,646,816.97/271,804.60
  6. Step 6: Final answer
    x = 257,131.95

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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.