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Finding the Fourth Proportional to 412,071.74, 619,054.97 and 290,771.38

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Solution

The fourth proportional to 412,071.74, 619,054.97 and 290,771.38 is: 436,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,071.74 : 619,054.97 = 290,771.38 : x
  2. Step 2: Convert to fraction form
    412,071.74/619,054.97 = 290,771.38/x
  3. Step 3: Cross multiply
    412,071.74x = 619,054.97 × 290,771.38
  4. Step 4: Simplify right side
    412,071.74x = 180,003,467,137.22
  5. Step 5: Solve for x
    x = 180,003,467,137.22/412,071.74
  6. Step 6: Final answer
    x = 436,825.56

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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.