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Finding the Fourth Proportional to 386,889.63, 580,069.64 and 196,982.51

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Solution

The fourth proportional to 386,889.63, 580,069.64 and 196,982.51 is: 295,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,889.63 : 580,069.64 = 196,982.51 : x
  2. Step 2: Convert to fraction form
    386,889.63/580,069.64 = 196,982.51/x
  3. Step 3: Cross multiply
    386,889.63x = 580,069.64 × 196,982.51
  4. Step 4: Simplify right side
    386,889.63x = 114,263,569,776.74
  5. Step 5: Solve for x
    x = 114,263,569,776.74/386,889.63
  6. Step 6: Final answer
    x = 295,338.93

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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.