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Finding the Fourth Proportional to 389,047, 536,884.88 and 210,199

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Solution

The fourth proportional to 389,047, 536,884.88 and 210,199 is: 290,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,047 : 536,884.88 = 210,199 : x
  2. Step 2: Convert to fraction form
    389,047/536,884.88 = 210,199/x
  3. Step 3: Cross multiply
    389,047x = 536,884.88 × 210,199
  4. Step 4: Simplify right side
    389,047x = 112,852,664,891.12
  5. Step 5: Solve for x
    x = 112,852,664,891.12/389,047
  6. Step 6: Final answer
    x = 290,074.63

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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.