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Finding the Fourth Proportional to 325,821.40, 488,707.80 and 136,232.80

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Solution

The fourth proportional to 325,821.40, 488,707.80 and 136,232.80 is: 204,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,821.40 : 488,707.80 = 136,232.80 : x
  2. Step 2: Convert to fraction form
    325,821.40/488,707.80 = 136,232.80/x
  3. Step 3: Cross multiply
    325,821.40x = 488,707.80 × 136,232.80
  4. Step 4: Simplify right side
    325,821.40x = 66,578,031,975.84
  5. Step 5: Solve for x
    x = 66,578,031,975.84/325,821.40
  6. Step 6: Final answer
    x = 204,339.04

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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.