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Finding the Fourth Proportional to 306,551.62, 422,801.55 and 199,156.24

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Solution

The fourth proportional to 306,551.62, 422,801.55 and 199,156.24 is: 274,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,551.62 : 422,801.55 = 199,156.24 : x
  2. Step 2: Convert to fraction form
    306,551.62/422,801.55 = 199,156.24/x
  3. Step 3: Cross multiply
    306,551.62x = 422,801.55 × 199,156.24
  4. Step 4: Simplify right side
    306,551.62x = 84,203,566,964.17
  5. Step 5: Solve for x
    x = 84,203,566,964.17/306,551.62
  6. Step 6: Final answer
    x = 274,679.90

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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.