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Finding the Fourth Proportional to 418,891.60, 578,072.94 and 227,906.38

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Solution

The fourth proportional to 418,891.60, 578,072.94 and 227,906.38 is: 314,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,891.60 : 578,072.94 = 227,906.38 : x
  2. Step 2: Convert to fraction form
    418,891.60/578,072.94 = 227,906.38/x
  3. Step 3: Cross multiply
    418,891.60x = 578,072.94 × 227,906.38
  4. Step 4: Simplify right side
    418,891.60x = 131,746,511,131.36
  5. Step 5: Solve for x
    x = 131,746,511,131.36/418,891.60
  6. Step 6: Final answer
    x = 314,512.18

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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.