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Finding the Fourth Proportional to 359,869, 496,662.96 and 208,966

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Solution

The fourth proportional to 359,869, 496,662.96 and 208,966 is: 288,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,869 : 496,662.96 = 208,966 : x
  2. Step 2: Convert to fraction form
    359,869/496,662.96 = 208,966/x
  3. Step 3: Cross multiply
    359,869x = 496,662.96 × 208,966
  4. Step 4: Simplify right side
    359,869x = 103,785,672,099.36
  5. Step 5: Solve for x
    x = 103,785,672,099.36/359,869
  6. Step 6: Final answer
    x = 288,398.48

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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.