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Finding the Fourth Proportional to 305,535.16, 421,728.42 and 198,111.88

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Solution

The fourth proportional to 305,535.16, 421,728.42 and 198,111.88 is: 273,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,535.16 : 421,728.42 = 198,111.88 : x
  2. Step 2: Convert to fraction form
    305,535.16/421,728.42 = 198,111.88/x
  3. Step 3: Cross multiply
    305,535.16x = 421,728.42 × 198,111.88
  4. Step 4: Simplify right side
    305,535.16x = 83,549,410,135.63
  5. Step 5: Solve for x
    x = 83,549,410,135.63/305,535.16
  6. Step 6: Final answer
    x = 273,452.69

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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.