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Finding the Fourth Proportional to 429,659.56, 644,333.82 and 205,010.92

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Solution

The fourth proportional to 429,659.56, 644,333.82 and 205,010.92 is: 307,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,659.56 : 644,333.82 = 205,010.92 : x
  2. Step 2: Convert to fraction form
    429,659.56/644,333.82 = 205,010.92/x
  3. Step 3: Cross multiply
    429,659.56x = 644,333.82 × 205,010.92
  4. Step 4: Simplify right side
    429,659.56x = 132,095,469,225.31
  5. Step 5: Solve for x
    x = 132,095,469,225.31/429,659.56
  6. Step 6: Final answer
    x = 307,442.17

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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.