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Finding the Fourth Proportional to 290,109.28, 435,185 and 121,460

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Solution

The fourth proportional to 290,109.28, 435,185 and 121,460 is: 182,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,109.28 : 435,185 = 121,460 : x
  2. Step 2: Convert to fraction form
    290,109.28/435,185 = 121,460/x
  3. Step 3: Cross multiply
    290,109.28x = 435,185 × 121,460
  4. Step 4: Simplify right side
    290,109.28x = 52,857,570,100
  5. Step 5: Solve for x
    x = 52,857,570,100/290,109.28
  6. Step 6: Final answer
    x = 182,198.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.