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Finding the Fourth Proportional to 306,228.76, 422,598.30 and 198,839.32

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Solution

The fourth proportional to 306,228.76, 422,598.30 and 198,839.32 is: 274,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,228.76 : 422,598.30 = 198,839.32 : x
  2. Step 2: Convert to fraction form
    306,228.76/422,598.30 = 198,839.32/x
  3. Step 3: Cross multiply
    306,228.76x = 422,598.30 × 198,839.32
  4. Step 4: Simplify right side
    306,228.76x = 84,029,158,605.16
  5. Step 5: Solve for x
    x = 84,029,158,605.16/306,228.76
  6. Step 6: Final answer
    x = 274,399.96

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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.