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Finding the Fourth Proportional to 305,454.16, 421,440.52 and 198,028.88

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Solution

The fourth proportional to 305,454.16, 421,440.52 and 198,028.88 is: 273,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,454.16 : 421,440.52 = 198,028.88 : x
  2. Step 2: Convert to fraction form
    305,454.16/421,440.52 = 198,028.88/x
  3. Step 3: Cross multiply
    305,454.16x = 421,440.52 × 198,028.88
  4. Step 4: Simplify right side
    305,454.16x = 83,457,394,162.22
  5. Step 5: Solve for x
    x = 83,457,394,162.22/305,454.16
  6. Step 6: Final answer
    x = 273,223.96

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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.