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Finding the Fourth Proportional to 265,979.60, 398,431.80 and 165,832.40

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Solution

The fourth proportional to 265,979.60, 398,431.80 and 165,832.40 is: 248,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,979.60 : 398,431.80 = 165,832.40 : x
  2. Step 2: Convert to fraction form
    265,979.60/398,431.80 = 165,832.40/x
  3. Step 3: Cross multiply
    265,979.60x = 398,431.80 × 165,832.40
  4. Step 4: Simplify right side
    265,979.60x = 66,072,901,630.32
  5. Step 5: Solve for x
    x = 66,072,901,630.32/265,979.60
  6. Step 6: Final answer
    x = 248,413.42

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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.