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Finding the Fourth Proportional to 280,934.28, 421,401.78 and 114,722.28

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Solution

The fourth proportional to 280,934.28, 421,401.78 and 114,722.28 is: 172,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,934.28 : 421,401.78 = 114,722.28 : x
  2. Step 2: Convert to fraction form
    280,934.28/421,401.78 = 114,722.28/x
  3. Step 3: Cross multiply
    280,934.28x = 421,401.78 × 114,722.28
  4. Step 4: Simplify right side
    280,934.28x = 48,344,172,997.66
  5. Step 5: Solve for x
    x = 48,344,172,997.66/280,934.28
  6. Step 6: Final answer
    x = 172,083.57

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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.