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Finding the Fourth Proportional to 273,245.60, 409,868.40 and 178,767.20

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Solution

The fourth proportional to 273,245.60, 409,868.40 and 178,767.20 is: 268,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,245.60 : 409,868.40 = 178,767.20 : x
  2. Step 2: Convert to fraction form
    273,245.60/409,868.40 = 178,767.20/x
  3. Step 3: Cross multiply
    273,245.60x = 409,868.40 × 178,767.20
  4. Step 4: Simplify right side
    273,245.60x = 73,271,026,236.48
  5. Step 5: Solve for x
    x = 73,271,026,236.48/273,245.60
  6. Step 6: Final answer
    x = 268,150.80

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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.