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Finding the Fourth Proportional to 306,329.21, 422,671.86 and 178,980.20

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Solution

The fourth proportional to 306,329.21, 422,671.86 and 178,980.20 is: 246,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,329.21 : 422,671.86 = 178,980.20 : x
  2. Step 2: Convert to fraction form
    306,329.21/422,671.86 = 178,980.20/x
  3. Step 3: Cross multiply
    306,329.21x = 422,671.86 × 178,980.20
  4. Step 4: Simplify right side
    306,329.21x = 75,649,891,923.81
  5. Step 5: Solve for x
    x = 75,649,891,923.81/306,329.21
  6. Step 6: Final answer
    x = 246,956.19

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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.