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Finding the Fourth Proportional to 213,800.80, 320,602.36 and 120,306.54

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Solution

The fourth proportional to 213,800.80, 320,602.36 and 120,306.54 is: 180,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,800.80 : 320,602.36 = 120,306.54 : x
  2. Step 2: Convert to fraction form
    213,800.80/320,602.36 = 120,306.54/x
  3. Step 3: Cross multiply
    213,800.80x = 320,602.36 × 120,306.54
  4. Step 4: Simplify right side
    213,800.80x = 38,570,560,647.43
  5. Step 5: Solve for x
    x = 38,570,560,647.43/213,800.80
  6. Step 6: Final answer
    x = 180,404.19

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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.