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Finding the Fourth Proportional to 305,968.94, 422,297.88 and 195,516.98

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Solution

The fourth proportional to 305,968.94, 422,297.88 and 195,516.98 is: 269,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,968.94 : 422,297.88 = 195,516.98 : x
  2. Step 2: Convert to fraction form
    305,968.94/422,297.88 = 195,516.98/x
  3. Step 3: Cross multiply
    305,968.94x = 422,297.88 × 195,516.98
  4. Step 4: Simplify right side
    305,968.94x = 82,566,406,158.00
  5. Step 5: Solve for x
    x = 82,566,406,158.00/305,968.94
  6. Step 6: Final answer
    x = 269,852.25

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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.