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Finding the Fourth Proportional to 271,490.10, 406,975.95 and 211,485.30

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Solution

The fourth proportional to 271,490.10, 406,975.95 and 211,485.30 is: 317,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,490.10 : 406,975.95 = 211,485.30 : x
  2. Step 2: Convert to fraction form
    271,490.10/406,975.95 = 211,485.30/x
  3. Step 3: Cross multiply
    271,490.10x = 406,975.95 × 211,485.30
  4. Step 4: Simplify right side
    271,490.10x = 86,069,430,878.54
  5. Step 5: Solve for x
    x = 86,069,430,878.54/271,490.10
  6. Step 6: Final answer
    x = 317,026.04

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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.