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Finding the Fourth Proportional to 320,765.59, 480,189.75 and 194,022.28

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Solution

The fourth proportional to 320,765.59, 480,189.75 and 194,022.28 is: 290,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,765.59 : 480,189.75 = 194,022.28 : x
  2. Step 2: Convert to fraction form
    320,765.59/480,189.75 = 194,022.28/x
  3. Step 3: Cross multiply
    320,765.59x = 480,189.75 × 194,022.28
  4. Step 4: Simplify right side
    320,765.59x = 93,167,510,127.63
  5. Step 5: Solve for x
    x = 93,167,510,127.63/320,765.59
  6. Step 6: Final answer
    x = 290,453.57

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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.