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Finding the Fourth Proportional to 389,126, 536,993.88 and 210,278

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Solution

The fourth proportional to 389,126, 536,993.88 and 210,278 is: 290,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,126 : 536,993.88 = 210,278 : x
  2. Step 2: Convert to fraction form
    389,126/536,993.88 = 210,278/x
  3. Step 3: Cross multiply
    389,126x = 536,993.88 × 210,278
  4. Step 4: Simplify right side
    389,126x = 112,917,999,098.64
  5. Step 5: Solve for x
    x = 112,917,999,098.64/389,126
  6. Step 6: Final answer
    x = 290,183.64

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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.