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Finding the Fourth Proportional to 305,431.87, 421,743.62 and 190,844

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Solution

The fourth proportional to 305,431.87, 421,743.62 and 190,844 is: 263,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,431.87 : 421,743.62 = 190,844 : x
  2. Step 2: Convert to fraction form
    305,431.87/421,743.62 = 190,844/x
  3. Step 3: Cross multiply
    305,431.87x = 421,743.62 × 190,844
  4. Step 4: Simplify right side
    305,431.87x = 80,487,238,461.06
  5. Step 5: Solve for x
    x = 80,487,238,461.06/305,431.87
  6. Step 6: Final answer
    x = 263,519.45

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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.