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Finding the Fourth Proportional to 447,328, 670,992 and 114,904

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Solution

The fourth proportional to 447,328, 670,992 and 114,904 is: 172,356

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,328 : 670,992 = 114,904 : x
  2. Step 2: Convert to fraction form
    447,328/670,992 = 114,904/x
  3. Step 3: Cross multiply
    447,328x = 670,992 × 114,904
  4. Step 4: Simplify right side
    447,328x = 77,099,664,768
  5. Step 5: Solve for x
    x = 77,099,664,768/447,328
  6. Step 6: Final answer
    x = 172,356

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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.