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Finding the Fourth Proportional to 306,503.56, 422,735.20 and 199,108.20

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Solution

The fourth proportional to 306,503.56, 422,735.20 and 199,108.20 is: 274,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,503.56 : 422,735.20 = 199,108.20 : x
  2. Step 2: Convert to fraction form
    306,503.56/422,735.20 = 199,108.20/x
  3. Step 3: Cross multiply
    306,503.56x = 422,735.20 × 199,108.20
  4. Step 4: Simplify right side
    306,503.56x = 84,170,044,748.64
  5. Step 5: Solve for x
    x = 84,170,044,748.64/306,503.56
  6. Step 6: Final answer
    x = 274,613.60

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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.