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Finding the Fourth Proportional to 340,251, 469,546.38 and 189,348.12

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Solution

The fourth proportional to 340,251, 469,546.38 and 189,348.12 is: 261,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,251 : 469,546.38 = 189,348.12 : x
  2. Step 2: Convert to fraction form
    340,251/469,546.38 = 189,348.12/x
  3. Step 3: Cross multiply
    340,251x = 469,546.38 × 189,348.12
  4. Step 4: Simplify right side
    340,251x = 88,907,724,305.81
  5. Step 5: Solve for x
    x = 88,907,724,305.81/340,251
  6. Step 6: Final answer
    x = 261,300.41

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1.5x scale

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.