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Finding the Fourth Proportional to 800,172.60, 1,200,258.90 and 674,201.40

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Solution

The fourth proportional to 800,172.60, 1,200,258.90 and 674,201.40 is: 1,011,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,172.60 : 1,200,258.90 = 674,201.40 : x
  2. Step 2: Convert to fraction form
    800,172.60/1,200,258.90 = 674,201.40/x
  3. Step 3: Cross multiply
    800,172.60x = 1,200,258.90 × 674,201.40
  4. Step 4: Simplify right side
    800,172.60x = 809,216,230,742.46
  5. Step 5: Solve for x
    x = 809,216,230,742.46/800,172.60
  6. Step 6: Final answer
    x = 1,011,302.10

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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.