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Finding the Fourth Proportional to 271,214.40, 406,821.60 and 171,681.60

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Solution

The fourth proportional to 271,214.40, 406,821.60 and 171,681.60 is: 257,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,214.40 : 406,821.60 = 171,681.60 : x
  2. Step 2: Convert to fraction form
    271,214.40/406,821.60 = 171,681.60/x
  3. Step 3: Cross multiply
    271,214.40x = 406,821.60 × 171,681.60
  4. Step 4: Simplify right side
    271,214.40x = 69,843,783,202.56
  5. Step 5: Solve for x
    x = 69,843,783,202.56/271,214.40
  6. Step 6: Final answer
    x = 257,522.40

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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.