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Finding the Fourth Proportional to 206,412.60, 309,618.90 and 122,431.80

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Solution

The fourth proportional to 206,412.60, 309,618.90 and 122,431.80 is: 183,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.60 : 309,618.90 = 122,431.80 : x
  2. Step 2: Convert to fraction form
    206,412.60/309,618.90 = 122,431.80/x
  3. Step 3: Cross multiply
    206,412.60x = 309,618.90 × 122,431.80
  4. Step 4: Simplify right side
    206,412.60x = 37,907,199,241.02
  5. Step 5: Solve for x
    x = 37,907,199,241.02/206,412.60
  6. Step 6: Final answer
    x = 183,647.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.