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Finding the Fourth Proportional to 489,042.96, 674,879.12 and 274,182.32

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Solution

The fourth proportional to 489,042.96, 674,879.12 and 274,182.32 is: 378,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,042.96 : 674,879.12 = 274,182.32 : x
  2. Step 2: Convert to fraction form
    489,042.96/674,879.12 = 274,182.32/x
  3. Step 3: Cross multiply
    489,042.96x = 674,879.12 × 274,182.32
  4. Step 4: Simplify right side
    489,042.96x = 185,039,922,841.16
  5. Step 5: Solve for x
    x = 185,039,922,841.16/489,042.96
  6. Step 6: Final answer
    x = 378,371.51

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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.