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Finding the Fourth Proportional to 405,987.60, 609,019.80 and 110,499.60

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Solution

The fourth proportional to 405,987.60, 609,019.80 and 110,499.60 is: 165,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,987.60 : 609,019.80 = 110,499.60 : x
  2. Step 2: Convert to fraction form
    405,987.60/609,019.80 = 110,499.60/x
  3. Step 3: Cross multiply
    405,987.60x = 609,019.80 × 110,499.60
  4. Step 4: Simplify right side
    405,987.60x = 67,296,444,292.08
  5. Step 5: Solve for x
    x = 67,296,444,292.08/405,987.60
  6. Step 6: Final answer
    x = 165,759.85

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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.