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Finding the Fourth Proportional to 413,976.52, 620,768.22 and 189,270.28

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Solution

The fourth proportional to 413,976.52, 620,768.22 and 189,270.28 is: 283,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,976.52 : 620,768.22 = 189,270.28 : x
  2. Step 2: Convert to fraction form
    413,976.52/620,768.22 = 189,270.28/x
  3. Step 3: Cross multiply
    413,976.52x = 620,768.22 × 189,270.28
  4. Step 4: Simplify right side
    413,976.52x = 117,492,974,814.50
  5. Step 5: Solve for x
    x = 117,492,974,814.50/413,976.52
  6. Step 6: Final answer
    x = 283,815.55

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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.