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Finding the Fourth Proportional to 380,103.92, 570,144.12 and 180,567.92

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Solution

The fourth proportional to 380,103.92, 570,144.12 and 180,567.92 is: 270,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,103.92 : 570,144.12 = 180,567.92 : x
  2. Step 2: Convert to fraction form
    380,103.92/570,144.12 = 180,567.92/x
  3. Step 3: Cross multiply
    380,103.92x = 570,144.12 × 180,567.92
  4. Step 4: Simplify right side
    380,103.92x = 102,949,737,848.63
  5. Step 5: Solve for x
    x = 102,949,737,848.63/380,103.92
  6. Step 6: Final answer
    x = 270,846.29

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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.