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Finding the Fourth Proportional to 799,208, 1,198,812 and 208,232

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Solution

The fourth proportional to 799,208, 1,198,812 and 208,232 is: 312,348

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,208 : 1,198,812 = 208,232 : x
  2. Step 2: Convert to fraction form
    799,208/1,198,812 = 208,232/x
  3. Step 3: Cross multiply
    799,208x = 1,198,812 × 208,232
  4. Step 4: Simplify right side
    799,208x = 249,631,020,384
  5. Step 5: Solve for x
    x = 249,631,020,384/799,208
  6. Step 6: Final answer
    x = 312,348

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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.