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Finding the Fourth Proportional to 202,457.20, 303,491.40 and 157,453.60

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Solution

The fourth proportional to 202,457.20, 303,491.40 and 157,453.60 is: 236,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,457.20 : 303,491.40 = 157,453.60 : x
  2. Step 2: Convert to fraction form
    202,457.20/303,491.40 = 157,453.60/x
  3. Step 3: Cross multiply
    202,457.20x = 303,491.40 × 157,453.60
  4. Step 4: Simplify right side
    202,457.20x = 47,785,813,499.04
  5. Step 5: Solve for x
    x = 47,785,813,499.04/202,457.20
  6. Step 6: Final answer
    x = 236,029.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.