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Finding the Fourth Proportional to 301,220.66, 451,906.92 and 212,647.16

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Solution

The fourth proportional to 301,220.66, 451,906.92 and 212,647.16 is: 319,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,220.66 : 451,906.92 = 212,647.16 : x
  2. Step 2: Convert to fraction form
    301,220.66/451,906.92 = 212,647.16/x
  3. Step 3: Cross multiply
    301,220.66x = 451,906.92 × 212,647.16
  4. Step 4: Simplify right side
    301,220.66x = 96,096,720,862.81
  5. Step 5: Solve for x
    x = 96,096,720,862.81/301,220.66
  6. Step 6: Final answer
    x = 319,024.34

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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.