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Finding the Fourth Proportional to 489,023.50, 674,884.90 and 274,177.48

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Solution

The fourth proportional to 489,023.50, 674,884.90 and 274,177.48 is: 378,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,023.50 : 674,884.90 = 274,177.48 : x
  2. Step 2: Convert to fraction form
    489,023.50/674,884.90 = 274,177.48/x
  3. Step 3: Cross multiply
    489,023.50x = 674,884.90 × 274,177.48
  4. Step 4: Simplify right side
    489,023.50x = 185,038,241,172.05
  5. Step 5: Solve for x
    x = 185,038,241,172.05/489,023.50
  6. Step 6: Final answer
    x = 378,383.13

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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.