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Finding the Fourth Proportional to 380,608.40, 570,733.80 and 220,729.77

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Solution

The fourth proportional to 380,608.40, 570,733.80 and 220,729.77 is: 330,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,608.40 : 570,733.80 = 220,729.77 : x
  2. Step 2: Convert to fraction form
    380,608.40/570,733.80 = 220,729.77/x
  3. Step 3: Cross multiply
    380,608.40x = 570,733.80 × 220,729.77
  4. Step 4: Simplify right side
    380,608.40x = 125,977,940,405.23
  5. Step 5: Solve for x
    x = 125,977,940,405.23/380,608.40
  6. Step 6: Final answer
    x = 330,990.97

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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.