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Finding the Fourth Proportional to 454,954.55, 682,431.83 and 305,655.35

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Solution

The fourth proportional to 454,954.55, 682,431.83 and 305,655.35 is: 458,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,954.55 : 682,431.83 = 305,655.35 : x
  2. Step 2: Convert to fraction form
    454,954.55/682,431.83 = 305,655.35/x
  3. Step 3: Cross multiply
    454,954.55x = 682,431.83 × 305,655.35
  4. Step 4: Simplify right side
    454,954.55x = 208,588,938,321.51
  5. Step 5: Solve for x
    x = 208,588,938,321.51/454,954.55
  6. Step 6: Final answer
    x = 458,483.03

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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.