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Finding the Fourth Proportional to 305,978.90, 422,129.94 and 176,893.62

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Solution

The fourth proportional to 305,978.90, 422,129.94 and 176,893.62 is: 244,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978.90 : 422,129.94 = 176,893.62 : x
  2. Step 2: Convert to fraction form
    305,978.90/422,129.94 = 176,893.62/x
  3. Step 3: Cross multiply
    305,978.90x = 422,129.94 × 176,893.62
  4. Step 4: Simplify right side
    305,978.90x = 74,672,093,196.98
  5. Step 5: Solve for x
    x = 74,672,093,196.98/305,978.90
  6. Step 6: Final answer
    x = 244,043.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.