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Finding the Fourth Proportional to 202,288.40, 302,914.20 and 149,411.60

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Solution

The fourth proportional to 202,288.40, 302,914.20 and 149,411.60 is: 223,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,288.40 : 302,914.20 = 149,411.60 : x
  2. Step 2: Convert to fraction form
    202,288.40/302,914.20 = 149,411.60/x
  3. Step 3: Cross multiply
    202,288.40x = 302,914.20 × 149,411.60
  4. Step 4: Simplify right side
    202,288.40x = 45,258,895,284.72
  5. Step 5: Solve for x
    x = 45,258,895,284.72/202,288.40
  6. Step 6: Final answer
    x = 223,734.51

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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.