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Finding the Fourth Proportional to 305,389.44, 421,436.16 and 186,157.44

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Solution

The fourth proportional to 305,389.44, 421,436.16 and 186,157.44 is: 256,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,389.44 : 421,436.16 = 186,157.44 : x
  2. Step 2: Convert to fraction form
    305,389.44/421,436.16 = 186,157.44/x
  3. Step 3: Cross multiply
    305,389.44x = 421,436.16 × 186,157.44
  4. Step 4: Simplify right side
    305,389.44x = 78,453,476,669.03
  5. Step 5: Solve for x
    x = 78,453,476,669.03/305,389.44
  6. Step 6: Final answer
    x = 256,896.49

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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.