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Finding the Fourth Proportional to 306,446.25, 422,895.84 and 172,310.25

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Solution

The fourth proportional to 306,446.25, 422,895.84 and 172,310.25 is: 237,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,446.25 : 422,895.84 = 172,310.25 : x
  2. Step 2: Convert to fraction form
    306,446.25/422,895.84 = 172,310.25/x
  3. Step 3: Cross multiply
    306,446.25x = 422,895.84 × 172,310.25
  4. Step 4: Simplify right side
    306,446.25x = 72,869,287,914.36
  5. Step 5: Solve for x
    x = 72,869,287,914.36/306,446.25
  6. Step 6: Final answer
    x = 237,788.15

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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.