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Finding the Fourth Proportional to 489,020.50, 674,880.75 and 274,174.48

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Solution

The fourth proportional to 489,020.50, 674,880.75 and 274,174.48 is: 378,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,020.50 : 674,880.75 = 274,174.48 : x
  2. Step 2: Convert to fraction form
    489,020.50/674,880.75 = 274,174.48/x
  3. Step 3: Cross multiply
    489,020.50x = 674,880.75 × 274,174.48
  4. Step 4: Simplify right side
    489,020.50x = 185,035,075,318.86
  5. Step 5: Solve for x
    x = 185,035,075,318.86/489,020.50
  6. Step 6: Final answer
    x = 378,378.98

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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.