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Finding the Fourth Proportional to 455,226.40, 682,454 and 188,820.64

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Solution

The fourth proportional to 455,226.40, 682,454 and 188,820.64 is: 283,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,226.40 : 682,454 = 188,820.64 : x
  2. Step 2: Convert to fraction form
    455,226.40/682,454 = 188,820.64/x
  3. Step 3: Cross multiply
    455,226.40x = 682,454 × 188,820.64
  4. Step 4: Simplify right side
    455,226.40x = 128,861,401,050.56
  5. Step 5: Solve for x
    x = 128,861,401,050.56/455,226.40
  6. Step 6: Final answer
    x = 283,071.02

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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.