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Finding the Fourth Proportional to 310,305.86, 428,087.12 and 195,514.82

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Solution

The fourth proportional to 310,305.86, 428,087.12 and 195,514.82 is: 269,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,305.86 : 428,087.12 = 195,514.82 : x
  2. Step 2: Convert to fraction form
    310,305.86/428,087.12 = 195,514.82/x
  3. Step 3: Cross multiply
    310,305.86x = 428,087.12 × 195,514.82
  4. Step 4: Simplify right side
    310,305.86x = 83,697,376,211.12
  5. Step 5: Solve for x
    x = 83,697,376,211.12/310,305.86
  6. Step 6: Final answer
    x = 269,725.41

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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.