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Finding the Fourth Proportional to 305,087.50, 421,020.75 and 177,738.49

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Solution

The fourth proportional to 305,087.50, 421,020.75 and 177,738.49 is: 245,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,087.50 : 421,020.75 = 177,738.49 : x
  2. Step 2: Convert to fraction form
    305,087.50/421,020.75 = 177,738.49/x
  3. Step 3: Cross multiply
    305,087.50x = 421,020.75 × 177,738.49
  4. Step 4: Simplify right side
    305,087.50x = 74,831,592,363.67
  5. Step 5: Solve for x
    x = 74,831,592,363.67/305,087.50
  6. Step 6: Final answer
    x = 245,279.12

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1.5x scale

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.