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Finding the Fourth Proportional to 671,292, 1,006,940.70 and 271,940.31

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Solution

The fourth proportional to 671,292, 1,006,940.70 and 271,940.31 is: 407,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,292 : 1,006,940.70 = 271,940.31 : x
  2. Step 2: Convert to fraction form
    671,292/1,006,940.70 = 271,940.31/x
  3. Step 3: Cross multiply
    671,292x = 1,006,940.70 × 271,940.31
  4. Step 4: Simplify right side
    671,292x = 273,827,766,109.62
  5. Step 5: Solve for x
    x = 273,827,766,109.62/671,292
  6. Step 6: Final answer
    x = 407,911.56

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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.