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Finding the Fourth Proportional to 489,039.50, 674,876.34 and 285,231.14

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Solution

The fourth proportional to 489,039.50, 674,876.34 and 285,231.14 is: 393,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,039.50 : 674,876.34 = 285,231.14 : x
  2. Step 2: Convert to fraction form
    489,039.50/674,876.34 = 285,231.14/x
  3. Step 3: Cross multiply
    489,039.50x = 674,876.34 × 285,231.14
  4. Step 4: Simplify right side
    489,039.50x = 192,495,747,817.23
  5. Step 5: Solve for x
    x = 192,495,747,817.23/489,039.50
  6. Step 6: Final answer
    x = 393,620.04

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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.