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Finding the Fourth Proportional to 429,768.06, 644,429.61 and 192,906.78

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Solution

The fourth proportional to 429,768.06, 644,429.61 and 192,906.78 is: 289,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,768.06 : 644,429.61 = 192,906.78 : x
  2. Step 2: Convert to fraction form
    429,768.06/644,429.61 = 192,906.78/x
  3. Step 3: Cross multiply
    429,768.06x = 644,429.61 × 192,906.78
  4. Step 4: Simplify right side
    429,768.06x = 124,314,841,001.76
  5. Step 5: Solve for x
    x = 124,314,841,001.76/429,768.06
  6. Step 6: Final answer
    x = 289,260.31

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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.