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Finding the Fourth Proportional to 455,048.84, 682,719.24 and 218,408.16

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Solution

The fourth proportional to 455,048.84, 682,719.24 and 218,408.16 is: 327,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,048.84 : 682,719.24 = 218,408.16 : x
  2. Step 2: Convert to fraction form
    455,048.84/682,719.24 = 218,408.16/x
  3. Step 3: Cross multiply
    455,048.84x = 682,719.24 × 218,408.16
  4. Step 4: Simplify right side
    455,048.84x = 149,111,453,005.00
  5. Step 5: Solve for x
    x = 149,111,453,005.00/455,048.84
  6. Step 6: Final answer
    x = 327,682.31

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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.