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Finding the Fourth Proportional to 321,206.78, 481,646.14 and 118,792.64

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Solution

The fourth proportional to 321,206.78, 481,646.14 and 118,792.64 is: 178,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,206.78 : 481,646.14 = 118,792.64 : x
  2. Step 2: Convert to fraction form
    321,206.78/481,646.14 = 118,792.64/x
  3. Step 3: Cross multiply
    321,206.78x = 481,646.14 × 118,792.64
  4. Step 4: Simplify right side
    321,206.78x = 57,216,016,516.41
  5. Step 5: Solve for x
    x = 57,216,016,516.41/321,206.78
  6. Step 6: Final answer
    x = 178,128.30

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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.