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Finding the Fourth Proportional to 415,119.80, 622,986.90 and 165,980.60

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Solution

The fourth proportional to 415,119.80, 622,986.90 and 165,980.60 is: 249,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,119.80 : 622,986.90 = 165,980.60 : x
  2. Step 2: Convert to fraction form
    415,119.80/622,986.90 = 165,980.60/x
  3. Step 3: Cross multiply
    415,119.80x = 622,986.90 × 165,980.60
  4. Step 4: Simplify right side
    415,119.80x = 103,403,739,454.14
  5. Step 5: Solve for x
    x = 103,403,739,454.14/415,119.80
  6. Step 6: Final answer
    x = 249,093.73

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1.5x scale

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.