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Finding the Fourth Proportional to 202,412.80, 303,619.20 and 143,315.20

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Solution

The fourth proportional to 202,412.80, 303,619.20 and 143,315.20 is: 214,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,412.80 : 303,619.20 = 143,315.20 : x
  2. Step 2: Convert to fraction form
    202,412.80/303,619.20 = 143,315.20/x
  3. Step 3: Cross multiply
    202,412.80x = 303,619.20 × 143,315.20
  4. Step 4: Simplify right side
    202,412.80x = 43,513,246,371.84
  5. Step 5: Solve for x
    x = 43,513,246,371.84/202,412.80
  6. Step 6: Final answer
    x = 214,972.80

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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.