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Finding the Fourth Proportional to 264,297.60, 396,365.40 and 86,763.60

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Solution

The fourth proportional to 264,297.60, 396,365.40 and 86,763.60 is: 130,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,297.60 : 396,365.40 = 86,763.60 : x
  2. Step 2: Convert to fraction form
    264,297.60/396,365.40 = 86,763.60/x
  3. Step 3: Cross multiply
    264,297.60x = 396,365.40 × 86,763.60
  4. Step 4: Simplify right side
    264,297.60x = 34,390,089,019.44
  5. Step 5: Solve for x
    x = 34,390,089,019.44/264,297.60
  6. Step 6: Final answer
    x = 130,118.81

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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.