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Finding the Fourth Proportional to 489,074.76, 674,886.33 and 274,209.30

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Solution

The fourth proportional to 489,074.76, 674,886.33 and 274,209.30 is: 378,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,074.76 : 674,886.33 = 274,209.30 : x
  2. Step 2: Convert to fraction form
    489,074.76/674,886.33 = 274,209.30/x
  3. Step 3: Cross multiply
    489,074.76x = 674,886.33 × 274,209.30
  4. Step 4: Simplify right side
    489,074.76x = 185,060,108,128.87
  5. Step 5: Solve for x
    x = 185,060,108,128.87/489,074.76
  6. Step 6: Final answer
    x = 378,388.18

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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.