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Finding the Fourth Proportional to 455,405, 628,451.12 and 251,450.84

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Solution

The fourth proportional to 455,405, 628,451.12 and 251,450.84 is: 346,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,405 : 628,451.12 = 251,450.84 : x
  2. Step 2: Convert to fraction form
    455,405/628,451.12 = 251,450.84/x
  3. Step 3: Cross multiply
    455,405x = 628,451.12 × 251,450.84
  4. Step 4: Simplify right side
    455,405x = 158,024,562,022.94
  5. Step 5: Solve for x
    x = 158,024,562,022.94/455,405
  6. Step 6: Final answer
    x = 346,997.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.