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Finding the Fourth Proportional to 405,739.20, 608,608.80 and 293,764.80

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Solution

The fourth proportional to 405,739.20, 608,608.80 and 293,764.80 is: 440,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,739.20 : 608,608.80 = 293,764.80 : x
  2. Step 2: Convert to fraction form
    405,739.20/608,608.80 = 293,764.80/x
  3. Step 3: Cross multiply
    405,739.20x = 608,608.80 × 293,764.80
  4. Step 4: Simplify right side
    405,739.20x = 178,787,842,410.24
  5. Step 5: Solve for x
    x = 178,787,842,410.24/405,739.20
  6. Step 6: Final answer
    x = 440,647.20

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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.