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Finding the Fourth Proportional to 363,826.80, 545,740.20 and 214,138.80

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Solution

The fourth proportional to 363,826.80, 545,740.20 and 214,138.80 is: 321,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,826.80 : 545,740.20 = 214,138.80 : x
  2. Step 2: Convert to fraction form
    363,826.80/545,740.20 = 214,138.80/x
  3. Step 3: Cross multiply
    363,826.80x = 545,740.20 × 214,138.80
  4. Step 4: Simplify right side
    363,826.80x = 116,864,151,539.76
  5. Step 5: Solve for x
    x = 116,864,151,539.76/363,826.80
  6. Step 6: Final answer
    x = 321,208.20

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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.