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Finding the Fourth Proportional to 271,914.64, 407,410.80 and 166,513.12

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Solution

The fourth proportional to 271,914.64, 407,410.80 and 166,513.12 is: 249,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914.64 : 407,410.80 = 166,513.12 : x
  2. Step 2: Convert to fraction form
    271,914.64/407,410.80 = 166,513.12/x
  3. Step 3: Cross multiply
    271,914.64x = 407,410.80 × 166,513.12
  4. Step 4: Simplify right side
    271,914.64x = 67,839,243,429.70
  5. Step 5: Solve for x
    x = 67,839,243,429.70/271,914.64
  6. Step 6: Final answer
    x = 249,487.28

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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.