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Finding the Fourth Proportional to 271,805.10, 407,707.65 and 171,421.80

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Solution

The fourth proportional to 271,805.10, 407,707.65 and 171,421.80 is: 257,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,805.10 : 407,707.65 = 171,421.80 : x
  2. Step 2: Convert to fraction form
    271,805.10/407,707.65 = 171,421.80/x
  3. Step 3: Cross multiply
    271,805.10x = 407,707.65 × 171,421.80
  4. Step 4: Simplify right side
    271,805.10x = 69,889,979,236.77
  5. Step 5: Solve for x
    x = 69,889,979,236.77/271,805.10
  6. Step 6: Final answer
    x = 257,132.70

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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.