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Finding the Fourth Proportional to 384,716.40, 576,383.40 and 329,420.40

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Solution

The fourth proportional to 384,716.40, 576,383.40 and 329,420.40 is: 493,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,716.40 : 576,383.40 = 329,420.40 : x
  2. Step 2: Convert to fraction form
    384,716.40/576,383.40 = 329,420.40/x
  3. Step 3: Cross multiply
    384,716.40x = 576,383.40 × 329,420.40
  4. Step 4: Simplify right side
    384,716.40x = 189,872,450,181.36
  5. Step 5: Solve for x
    x = 189,872,450,181.36/384,716.40
  6. Step 6: Final answer
    x = 493,538.75

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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.