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Finding the Fourth Proportional to 321,204.78, 481,643.14 and 118,790.64

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Solution

The fourth proportional to 321,204.78, 481,643.14 and 118,790.64 is: 178,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,204.78 : 481,643.14 = 118,790.64 : x
  2. Step 2: Convert to fraction form
    321,204.78/481,643.14 = 118,790.64/x
  3. Step 3: Cross multiply
    321,204.78x = 481,643.14 × 118,790.64
  4. Step 4: Simplify right side
    321,204.78x = 57,214,696,852.21
  5. Step 5: Solve for x
    x = 57,214,696,852.21/321,204.78
  6. Step 6: Final answer
    x = 178,125.30

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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.