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Finding the Fourth Proportional to 270,170.94, 405,210.30 and 90,231.47

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Solution

The fourth proportional to 270,170.94, 405,210.30 and 90,231.47 is: 135,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,170.94 : 405,210.30 = 90,231.47 : x
  2. Step 2: Convert to fraction form
    270,170.94/405,210.30 = 90,231.47/x
  3. Step 3: Cross multiply
    270,170.94x = 405,210.30 × 90,231.47
  4. Step 4: Simplify right side
    270,170.94x = 36,562,720,183.26
  5. Step 5: Solve for x
    x = 36,562,720,183.26/270,170.94
  6. Step 6: Final answer
    x = 135,331.80

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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.