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Finding the Fourth Proportional to 405,539.20, 608,654.40 and 181,244.80

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Solution

The fourth proportional to 405,539.20, 608,654.40 and 181,244.80 is: 272,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,539.20 : 608,654.40 = 181,244.80 : x
  2. Step 2: Convert to fraction form
    405,539.20/608,654.40 = 181,244.80/x
  3. Step 3: Cross multiply
    405,539.20x = 608,654.40 × 181,244.80
  4. Step 4: Simplify right side
    405,539.20x = 110,315,444,997.12
  5. Step 5: Solve for x
    x = 110,315,444,997.12/405,539.20
  6. Step 6: Final answer
    x = 272,021.66

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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.