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Finding the Fourth Proportional to 389,017, 536,843.46 and 210,169

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Solution

The fourth proportional to 389,017, 536,843.46 and 210,169 is: 290,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,017 : 536,843.46 = 210,169 : x
  2. Step 2: Convert to fraction form
    389,017/536,843.46 = 210,169/x
  3. Step 3: Cross multiply
    389,017x = 536,843.46 × 210,169
  4. Step 4: Simplify right side
    389,017x = 112,827,853,144.74
  5. Step 5: Solve for x
    x = 112,827,853,144.74/389,017
  6. Step 6: Final answer
    x = 290,033.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.