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Finding the Fourth Proportional to 234,640.64, 323,719.20 and 154,111.84

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Solution

The fourth proportional to 234,640.64, 323,719.20 and 154,111.84 is: 212,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,640.64 : 323,719.20 = 154,111.84 : x
  2. Step 2: Convert to fraction form
    234,640.64/323,719.20 = 154,111.84/x
  3. Step 3: Cross multiply
    234,640.64x = 323,719.20 × 154,111.84
  4. Step 4: Simplify right side
    234,640.64x = 49,888,961,555.33
  5. Step 5: Solve for x
    x = 49,888,961,555.33/234,640.64
  6. Step 6: Final answer
    x = 212,618.59

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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.