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Finding the Fourth Proportional to 494,145.69, 681,694.68 and 290,192.95

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Solution

The fourth proportional to 494,145.69, 681,694.68 and 290,192.95 is: 400,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,145.69 : 681,694.68 = 290,192.95 : x
  2. Step 2: Convert to fraction form
    494,145.69/681,694.68 = 290,192.95/x
  3. Step 3: Cross multiply
    494,145.69x = 681,694.68 × 290,192.95
  4. Step 4: Simplify right side
    494,145.69x = 197,822,990,188.51
  5. Step 5: Solve for x
    x = 197,822,990,188.51/494,145.69
  6. Step 6: Final answer
    x = 400,333.33

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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.