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Finding the Fourth Proportional to 414,186.54, 571,770 and 312,253.44

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Solution

The fourth proportional to 414,186.54, 571,770 and 312,253.44 is: 431,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,186.54 : 571,770 = 312,253.44 : x
  2. Step 2: Convert to fraction form
    414,186.54/571,770 = 312,253.44/x
  3. Step 3: Cross multiply
    414,186.54x = 571,770 × 312,253.44
  4. Step 4: Simplify right side
    414,186.54x = 178,537,149,388.80
  5. Step 5: Solve for x
    x = 178,537,149,388.80/414,186.54
  6. Step 6: Final answer
    x = 431,054.93

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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.