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Finding the Fourth Proportional to 458,021.46, 631,488.42 and 327,355.05

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Solution

The fourth proportional to 458,021.46, 631,488.42 and 327,355.05 is: 451,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,021.46 : 631,488.42 = 327,355.05 : x
  2. Step 2: Convert to fraction form
    458,021.46/631,488.42 = 327,355.05/x
  3. Step 3: Cross multiply
    458,021.46x = 631,488.42 × 327,355.05
  4. Step 4: Simplify right side
    458,021.46x = 206,720,923,303.52
  5. Step 5: Solve for x
    x = 206,720,923,303.52/458,021.46
  6. Step 6: Final answer
    x = 451,334.58

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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.