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Finding the Fourth Proportional to 395,907.90, 593,238.83 and 306,170.43

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Solution

The fourth proportional to 395,907.90, 593,238.83 and 306,170.43 is: 458,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,907.90 : 593,238.83 = 306,170.43 : x
  2. Step 2: Convert to fraction form
    395,907.90/593,238.83 = 306,170.43/x
  3. Step 3: Cross multiply
    395,907.90x = 593,238.83 × 306,170.43
  4. Step 4: Simplify right side
    395,907.90x = 181,632,186,142.95
  5. Step 5: Solve for x
    x = 181,632,186,142.95/395,907.90
  6. Step 6: Final answer
    x = 458,773.84

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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.