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Finding the Fourth Proportional to 340,991.37, 470,546.34 and 188,030.54

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Solution

The fourth proportional to 340,991.37, 470,546.34 and 188,030.54 is: 259,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,991.37 : 470,546.34 = 188,030.54 : x
  2. Step 2: Convert to fraction form
    340,991.37/470,546.34 = 188,030.54/x
  3. Step 3: Cross multiply
    340,991.37x = 470,546.34 × 188,030.54
  4. Step 4: Simplify right side
    340,991.37x = 88,477,082,081.90
  5. Step 5: Solve for x
    x = 88,477,082,081.90/340,991.37
  6. Step 6: Final answer
    x = 259,470.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.