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Finding the Fourth Proportional to 380,609.40, 570,735.30 and 220,730.77

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Solution

The fourth proportional to 380,609.40, 570,735.30 and 220,730.77 is: 330,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,609.40 : 570,735.30 = 220,730.77 : x
  2. Step 2: Convert to fraction form
    380,609.40/570,735.30 = 220,730.77/x
  3. Step 3: Cross multiply
    380,609.40x = 570,735.30 × 220,730.77
  4. Step 4: Simplify right side
    380,609.40x = 125,978,842,235.18
  5. Step 5: Solve for x
    x = 125,978,842,235.18/380,609.40
  6. Step 6: Final answer
    x = 330,992.46

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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.