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Finding the Fourth Proportional to 320,414.67, 480,669.78 and 117,995.21

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Solution

The fourth proportional to 320,414.67, 480,669.78 and 117,995.21 is: 177,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,414.67 : 480,669.78 = 117,995.21 : x
  2. Step 2: Convert to fraction form
    320,414.67/480,669.78 = 117,995.21/x
  3. Step 3: Cross multiply
    320,414.67x = 480,669.78 × 117,995.21
  4. Step 4: Simplify right side
    320,414.67x = 56,716,729,228.40
  5. Step 5: Solve for x
    x = 56,716,729,228.40/320,414.67
  6. Step 6: Final answer
    x = 177,010.40

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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.