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Finding the Fourth Proportional to 363,826.80, 546,064.20 and 213,879.60

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Solution

The fourth proportional to 363,826.80, 546,064.20 and 213,879.60 is: 321,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,826.80 : 546,064.20 = 213,879.60 : x
  2. Step 2: Convert to fraction form
    363,826.80/546,064.20 = 213,879.60/x
  3. Step 3: Cross multiply
    363,826.80x = 546,064.20 × 213,879.60
  4. Step 4: Simplify right side
    363,826.80x = 116,791,992,670.32
  5. Step 5: Solve for x
    x = 116,791,992,670.32/363,826.80
  6. Step 6: Final answer
    x = 321,009.87

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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.