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Finding the Fourth Proportional to 265,821.36, 398,288.30 and 186,794.12

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Solution

The fourth proportional to 265,821.36, 398,288.30 and 186,794.12 is: 279,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,821.36 : 398,288.30 = 186,794.12 : x
  2. Step 2: Convert to fraction form
    265,821.36/398,288.30 = 186,794.12/x
  3. Step 3: Cross multiply
    265,821.36x = 398,288.30 × 186,794.12
  4. Step 4: Simplify right side
    265,821.36x = 74,397,909,579.38
  5. Step 5: Solve for x
    x = 74,397,909,579.38/265,821.36
  6. Step 6: Final answer
    x = 279,879.35

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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.