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Finding the Fourth Proportional to 389,119, 536,984.22 and 210,271

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Solution

The fourth proportional to 389,119, 536,984.22 and 210,271 is: 290,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,119 : 536,984.22 = 210,271 : x
  2. Step 2: Convert to fraction form
    389,119/536,984.22 = 210,271/x
  3. Step 3: Cross multiply
    389,119x = 536,984.22 × 210,271
  4. Step 4: Simplify right side
    389,119x = 112,912,208,923.62
  5. Step 5: Solve for x
    x = 112,912,208,923.62/389,119
  6. Step 6: Final answer
    x = 290,173.98

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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.