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Finding the Fourth Proportional to 456,648.71, 682,172.93 and 329,201.28

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Solution

The fourth proportional to 456,648.71, 682,172.93 and 329,201.28 is: 491,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,648.71 : 682,172.93 = 329,201.28 : x
  2. Step 2: Convert to fraction form
    456,648.71/682,172.93 = 329,201.28/x
  3. Step 3: Cross multiply
    456,648.71x = 682,172.93 × 329,201.28
  4. Step 4: Simplify right side
    456,648.71x = 224,572,200,091.34
  5. Step 5: Solve for x
    x = 224,572,200,091.34/456,648.71
  6. Step 6: Final answer
    x = 491,783.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.