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Finding the Fourth Proportional to 489,084.72, 674,928.27 and 274,224.12

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Solution

The fourth proportional to 489,084.72, 674,928.27 and 274,224.12 is: 378,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,084.72 : 674,928.27 = 274,224.12 : x
  2. Step 2: Convert to fraction form
    489,084.72/674,928.27 = 274,224.12/x
  3. Step 3: Cross multiply
    489,084.72x = 674,928.27 × 274,224.12
  4. Step 4: Simplify right side
    489,084.72x = 185,081,610,903.87
  5. Step 5: Solve for x
    x = 185,081,610,903.87/489,084.72
  6. Step 6: Final answer
    x = 378,424.44

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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.