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Finding the Fourth Proportional to 306,478.71, 422,700.96 and 199,083.33

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Solution

The fourth proportional to 306,478.71, 422,700.96 and 199,083.33 is: 274,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,478.71 : 422,700.96 = 199,083.33 : x
  2. Step 2: Convert to fraction form
    306,478.71/422,700.96 = 199,083.33/x
  3. Step 3: Cross multiply
    306,478.71x = 422,700.96 × 199,083.33
  4. Step 4: Simplify right side
    306,478.71x = 84,152,714,711.00
  5. Step 5: Solve for x
    x = 84,152,714,711.00/306,478.71
  6. Step 6: Final answer
    x = 274,579.32

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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.