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Finding the Fourth Proportional to 196,574.56, 270,978.92 and 154,059.28

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Solution

The fourth proportional to 196,574.56, 270,978.92 and 154,059.28 is: 212,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,574.56 : 270,978.92 = 154,059.28 : x
  2. Step 2: Convert to fraction form
    196,574.56/270,978.92 = 154,059.28/x
  3. Step 3: Cross multiply
    196,574.56x = 270,978.92 × 154,059.28
  4. Step 4: Simplify right side
    196,574.56x = 41,746,817,310.38
  5. Step 5: Solve for x
    x = 41,746,817,310.38/196,574.56
  6. Step 6: Final answer
    x = 212,371.41

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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.