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Finding the Fourth Proportional to 405,667.80, 607,335.30 and 394,003.80

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Solution

The fourth proportional to 405,667.80, 607,335.30 and 394,003.80 is: 589,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,667.80 : 607,335.30 = 394,003.80 : x
  2. Step 2: Convert to fraction form
    405,667.80/607,335.30 = 394,003.80/x
  3. Step 3: Cross multiply
    405,667.80x = 607,335.30 × 394,003.80
  4. Step 4: Simplify right side
    405,667.80x = 239,292,416,074.14
  5. Step 5: Solve for x
    x = 239,292,416,074.14/405,667.80
  6. Step 6: Final answer
    x = 589,872.84

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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.