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Finding the Fourth Proportional to 322,109.78, 444,479.01 and 188,051.54

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Solution

The fourth proportional to 322,109.78, 444,479.01 and 188,051.54 is: 259,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,109.78 : 444,479.01 = 188,051.54 : x
  2. Step 2: Convert to fraction form
    322,109.78/444,479.01 = 188,051.54/x
  3. Step 3: Cross multiply
    322,109.78x = 444,479.01 × 188,051.54
  4. Step 4: Simplify right side
    322,109.78x = 83,584,962,328.18
  5. Step 5: Solve for x
    x = 83,584,962,328.18/322,109.78
  6. Step 6: Final answer
    x = 259,492.16

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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.