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Finding the Fourth Proportional to 823,914, 1,235,878.56 and 325,278

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Solution

The fourth proportional to 823,914, 1,235,878.56 and 325,278 is: 487,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,914 : 1,235,878.56 = 325,278 : x
  2. Step 2: Convert to fraction form
    823,914/1,235,878.56 = 325,278/x
  3. Step 3: Cross multiply
    823,914x = 1,235,878.56 × 325,278
  4. Step 4: Simplify right side
    823,914x = 402,004,106,239.68
  5. Step 5: Solve for x
    x = 402,004,106,239.68/823,914
  6. Step 6: Final answer
    x = 487,919.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.