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Finding the Fourth Proportional to 389,116, 536,980.08 and 210,268

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Solution

The fourth proportional to 389,116, 536,980.08 and 210,268 is: 290,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,116 : 536,980.08 = 210,268 : x
  2. Step 2: Convert to fraction form
    389,116/536,980.08 = 210,268/x
  3. Step 3: Cross multiply
    389,116x = 536,980.08 × 210,268
  4. Step 4: Simplify right side
    389,116x = 112,909,727,461.44
  5. Step 5: Solve for x
    x = 112,909,727,461.44/389,116
  6. Step 6: Final answer
    x = 290,169.84

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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.