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Finding the Fourth Proportional to 309,548.78, 464,275.27 and 127,198.07

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Solution

The fourth proportional to 309,548.78, 464,275.27 and 127,198.07 is: 190,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,548.78 : 464,275.27 = 127,198.07 : x
  2. Step 2: Convert to fraction form
    309,548.78/464,275.27 = 127,198.07/x
  3. Step 3: Cross multiply
    309,548.78x = 464,275.27 × 127,198.07
  4. Step 4: Simplify right side
    309,548.78x = 59,054,918,292.73
  5. Step 5: Solve for x
    x = 59,054,918,292.73/309,548.78
  6. Step 6: Final answer
    x = 190,777.42

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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.