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Finding the Fourth Proportional to 281,006.76, 421,079.22 and 190,934.76

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Solution

The fourth proportional to 281,006.76, 421,079.22 and 190,934.76 is: 286,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,006.76 : 421,079.22 = 190,934.76 : x
  2. Step 2: Convert to fraction form
    281,006.76/421,079.22 = 190,934.76/x
  3. Step 3: Cross multiply
    281,006.76x = 421,079.22 × 190,934.76
  4. Step 4: Simplify right side
    281,006.76x = 80,398,659,811.69
  5. Step 5: Solve for x
    x = 80,398,659,811.69/281,006.76
  6. Step 6: Final answer
    x = 286,109.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.