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Finding the Fourth Proportional to 405,274.43, 607,910.82 and 380,612.25

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Solution

The fourth proportional to 405,274.43, 607,910.82 and 380,612.25 is: 570,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,274.43 : 607,910.82 = 380,612.25 : x
  2. Step 2: Convert to fraction form
    405,274.43/607,910.82 = 380,612.25/x
  3. Step 3: Cross multiply
    405,274.43x = 607,910.82 × 380,612.25
  4. Step 4: Simplify right side
    405,274.43x = 231,378,304,999.55
  5. Step 5: Solve for x
    x = 231,378,304,999.55/405,274.43
  6. Step 6: Final answer
    x = 570,917.60

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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.