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Finding the Fourth Proportional to 923,867, 1,274,940.30 and 499,931

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Solution

The fourth proportional to 923,867, 1,274,940.30 and 499,931 is: 689,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,867 : 1,274,940.30 = 499,931 : x
  2. Step 2: Convert to fraction form
    923,867/1,274,940.30 = 499,931/x
  3. Step 3: Cross multiply
    923,867x = 1,274,940.30 × 499,931
  4. Step 4: Simplify right side
    923,867x = 637,382,179,119.30
  5. Step 5: Solve for x
    x = 637,382,179,119.30/923,867
  6. Step 6: Final answer
    x = 689,906.86

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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.