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Finding the Fourth Proportional to 389,686, 537,766.68 and 210,838

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Solution

The fourth proportional to 389,686, 537,766.68 and 210,838 is: 290,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,686 : 537,766.68 = 210,838 : x
  2. Step 2: Convert to fraction form
    389,686/537,766.68 = 210,838/x
  3. Step 3: Cross multiply
    389,686x = 537,766.68 × 210,838
  4. Step 4: Simplify right side
    389,686x = 113,381,651,277.84
  5. Step 5: Solve for x
    x = 113,381,651,277.84/389,686
  6. Step 6: Final answer
    x = 290,956.44

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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.