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Finding the Fourth Proportional to 193,632.20, 290,448.30 and 144,480.20

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Solution

The fourth proportional to 193,632.20, 290,448.30 and 144,480.20 is: 216,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,632.20 : 290,448.30 = 144,480.20 : x
  2. Step 2: Convert to fraction form
    193,632.20/290,448.30 = 144,480.20/x
  3. Step 3: Cross multiply
    193,632.20x = 290,448.30 × 144,480.20
  4. Step 4: Simplify right side
    193,632.20x = 41,964,028,473.66
  5. Step 5: Solve for x
    x = 41,964,028,473.66/193,632.20
  6. Step 6: Final answer
    x = 216,720.30

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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.