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Finding the Fourth Proportional to 406,051.20, 609,076.80 and 181,324.80

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Solution

The fourth proportional to 406,051.20, 609,076.80 and 181,324.80 is: 271,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,051.20 : 609,076.80 = 181,324.80 : x
  2. Step 2: Convert to fraction form
    406,051.20/609,076.80 = 181,324.80/x
  3. Step 3: Cross multiply
    406,051.20x = 609,076.80 × 181,324.80
  4. Step 4: Simplify right side
    406,051.20x = 110,440,728,944.64
  5. Step 5: Solve for x
    x = 110,440,728,944.64/406,051.20
  6. Step 6: Final answer
    x = 271,987.20

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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.