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Finding the Fourth Proportional to 492,771.12, 680,047.29 and 277,906.74

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Solution

The fourth proportional to 492,771.12, 680,047.29 and 277,906.74 is: 383,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,771.12 : 680,047.29 = 277,906.74 : x
  2. Step 2: Convert to fraction form
    492,771.12/680,047.29 = 277,906.74/x
  3. Step 3: Cross multiply
    492,771.12x = 680,047.29 × 277,906.74
  4. Step 4: Simplify right side
    492,771.12x = 188,989,725,409.74
  5. Step 5: Solve for x
    x = 188,989,725,409.74/492,771.12
  6. Step 6: Final answer
    x = 383,524.35

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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.