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Finding the Fourth Proportional to 305,966.94, 422,295.12 and 195,514.98

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Solution

The fourth proportional to 305,966.94, 422,295.12 and 195,514.98 is: 269,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,966.94 : 422,295.12 = 195,514.98 : x
  2. Step 2: Convert to fraction form
    305,966.94/422,295.12 = 195,514.98/x
  3. Step 3: Cross multiply
    305,966.94x = 422,295.12 × 195,514.98
  4. Step 4: Simplify right side
    305,966.94x = 82,565,021,940.90
  5. Step 5: Solve for x
    x = 82,565,021,940.90/305,966.94
  6. Step 6: Final answer
    x = 269,849.49

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1.5x scale

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.