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Finding the Fourth Proportional to 351,129.98, 484,558.80 and 198,200.36

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Solution

The fourth proportional to 351,129.98, 484,558.80 and 198,200.36 is: 273,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,129.98 : 484,558.80 = 198,200.36 : x
  2. Step 2: Convert to fraction form
    351,129.98/484,558.80 = 198,200.36/x
  3. Step 3: Cross multiply
    351,129.98x = 484,558.80 × 198,200.36
  4. Step 4: Simplify right side
    351,129.98x = 96,039,728,601.17
  5. Step 5: Solve for x
    x = 96,039,728,601.17/351,129.98
  6. Step 6: Final answer
    x = 273,516.17

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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.