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Finding the Fourth Proportional to 209,443.70, 314,187.42 and 120,797.30

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Solution

The fourth proportional to 209,443.70, 314,187.42 and 120,797.30 is: 181,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,443.70 : 314,187.42 = 120,797.30 : x
  2. Step 2: Convert to fraction form
    209,443.70/314,187.42 = 120,797.30/x
  3. Step 3: Cross multiply
    209,443.70x = 314,187.42 × 120,797.30
  4. Step 4: Simplify right side
    209,443.70x = 37,952,992,029.97
  5. Step 5: Solve for x
    x = 37,952,992,029.97/209,443.70
  6. Step 6: Final answer
    x = 181,208.56

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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.