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Finding the Fourth Proportional to 345,171.90, 476,336.25 and 194,268.90

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Solution

The fourth proportional to 345,171.90, 476,336.25 and 194,268.90 is: 268,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,171.90 : 476,336.25 = 194,268.90 : x
  2. Step 2: Convert to fraction form
    345,171.90/476,336.25 = 194,268.90/x
  3. Step 3: Cross multiply
    345,171.90x = 476,336.25 × 194,268.90
  4. Step 4: Simplify right side
    345,171.90x = 92,537,319,317.63
  5. Step 5: Solve for x
    x = 92,537,319,317.63/345,171.90
  6. Step 6: Final answer
    x = 268,090.53

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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.