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Finding the Fourth Proportional to 306,480.18, 422,703 and 199,084.86

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Solution

The fourth proportional to 306,480.18, 422,703 and 199,084.86 is: 274,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,480.18 : 422,703 = 199,084.86 : x
  2. Step 2: Convert to fraction form
    306,480.18/422,703 = 199,084.86/x
  3. Step 3: Cross multiply
    306,480.18x = 422,703 × 199,084.86
  4. Step 4: Simplify right side
    306,480.18x = 84,153,767,576.58
  5. Step 5: Solve for x
    x = 84,153,767,576.58/306,480.18
  6. Step 6: Final answer
    x = 274,581.43

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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.