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Finding the Fourth Proportional to 503,966, 755,949 and 208,478

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Solution

The fourth proportional to 503,966, 755,949 and 208,478 is: 312,717

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,966 : 755,949 = 208,478 : x
  2. Step 2: Convert to fraction form
    503,966/755,949 = 208,478/x
  3. Step 3: Cross multiply
    503,966x = 755,949 × 208,478
  4. Step 4: Simplify right side
    503,966x = 157,598,735,622
  5. Step 5: Solve for x
    x = 157,598,735,622/503,966
  6. Step 6: Final answer
    x = 312,717

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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.