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Finding the Fourth Proportional to 271,435.25, 407,013.75 and 143,420.28

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Solution

The fourth proportional to 271,435.25, 407,013.75 and 143,420.28 is: 215,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,435.25 : 407,013.75 = 143,420.28 : x
  2. Step 2: Convert to fraction form
    271,435.25/407,013.75 = 143,420.28/x
  3. Step 3: Cross multiply
    271,435.25x = 407,013.75 × 143,420.28
  4. Step 4: Simplify right side
    271,435.25x = 58,374,025,988.85
  5. Step 5: Solve for x
    x = 58,374,025,988.85/271,435.25
  6. Step 6: Final answer
    x = 215,056.91

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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.