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Finding the Fourth Proportional to 621,096, 857,112.48 and 338,472

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Solution

The fourth proportional to 621,096, 857,112.48 and 338,472 is: 467,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,096 : 857,112.48 = 338,472 : x
  2. Step 2: Convert to fraction form
    621,096/857,112.48 = 338,472/x
  3. Step 3: Cross multiply
    621,096x = 857,112.48 × 338,472
  4. Step 4: Simplify right side
    621,096x = 290,108,575,330.56
  5. Step 5: Solve for x
    x = 290,108,575,330.56/621,096
  6. Step 6: Final answer
    x = 467,091.36

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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.