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Finding the Fourth Proportional to 265,052.40, 397,442.40 and 78,039.60

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Solution

The fourth proportional to 265,052.40, 397,442.40 and 78,039.60 is: 117,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,052.40 : 397,442.40 = 78,039.60 : x
  2. Step 2: Convert to fraction form
    265,052.40/397,442.40 = 78,039.60/x
  3. Step 3: Cross multiply
    265,052.40x = 397,442.40 × 78,039.60
  4. Step 4: Simplify right side
    265,052.40x = 31,016,245,919.04
  5. Step 5: Solve for x
    x = 31,016,245,919.04/265,052.40
  6. Step 6: Final answer
    x = 117,019.30

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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.