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Finding the Fourth Proportional to 405,287.20, 608,276.40 and 180,992.80

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Solution

The fourth proportional to 405,287.20, 608,276.40 and 180,992.80 is: 271,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,287.20 : 608,276.40 = 180,992.80 : x
  2. Step 2: Convert to fraction form
    405,287.20/608,276.40 = 180,992.80/x
  3. Step 3: Cross multiply
    405,287.20x = 608,276.40 × 180,992.80
  4. Step 4: Simplify right side
    405,287.20x = 110,093,648,809.92
  5. Step 5: Solve for x
    x = 110,093,648,809.92/405,287.20
  6. Step 6: Final answer
    x = 271,643.54

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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.