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Finding the Fourth Proportional to 305,965.94, 422,293.74 and 195,513.98

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Solution

The fourth proportional to 305,965.94, 422,293.74 and 195,513.98 is: 269,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,965.94 : 422,293.74 = 195,513.98 : x
  2. Step 2: Convert to fraction form
    305,965.94/422,293.74 = 195,513.98/x
  3. Step 3: Cross multiply
    305,965.94x = 422,293.74 × 195,513.98
  4. Step 4: Simplify right side
    305,965.94x = 82,564,329,836.49
  5. Step 5: Solve for x
    x = 82,564,329,836.49/305,965.94
  6. Step 6: Final answer
    x = 269,848.11

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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.