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Finding the Fourth Proportional to 271,113.40, 406,670.10 and 201,129.40

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Solution

The fourth proportional to 271,113.40, 406,670.10 and 201,129.40 is: 301,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,113.40 : 406,670.10 = 201,129.40 : x
  2. Step 2: Convert to fraction form
    271,113.40/406,670.10 = 201,129.40/x
  3. Step 3: Cross multiply
    271,113.40x = 406,670.10 × 201,129.40
  4. Step 4: Simplify right side
    271,113.40x = 81,793,313,210.94
  5. Step 5: Solve for x
    x = 81,793,313,210.94/271,113.40
  6. Step 6: Final answer
    x = 301,694.10

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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.