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Finding the Fourth Proportional to 306,477.02, 422,698.64 and 199,081.64

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Solution

The fourth proportional to 306,477.02, 422,698.64 and 199,081.64 is: 274,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,477.02 : 422,698.64 = 199,081.64 : x
  2. Step 2: Convert to fraction form
    306,477.02/422,698.64 = 199,081.64/x
  3. Step 3: Cross multiply
    306,477.02x = 422,698.64 × 199,081.64
  4. Step 4: Simplify right side
    306,477.02x = 84,151,538,538.31
  5. Step 5: Solve for x
    x = 84,151,538,538.31/306,477.02
  6. Step 6: Final answer
    x = 274,576.99

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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.