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Finding the Fourth Proportional to 310,126.44, 428,041.14 and 189,241.80

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Solution

The fourth proportional to 310,126.44, 428,041.14 and 189,241.80 is: 261,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,126.44 : 428,041.14 = 189,241.80 : x
  2. Step 2: Convert to fraction form
    310,126.44/428,041.14 = 189,241.80/x
  3. Step 3: Cross multiply
    310,126.44x = 428,041.14 × 189,241.80
  4. Step 4: Simplify right side
    310,126.44x = 81,003,275,807.65
  5. Step 5: Solve for x
    x = 81,003,275,807.65/310,126.44
  6. Step 6: Final answer
    x = 261,194.36

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1.5x scale

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.