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Finding the Fourth Proportional to 229,819.60, 344,729.40 and 213,230.80

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Solution

The fourth proportional to 229,819.60, 344,729.40 and 213,230.80 is: 319,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,819.60 : 344,729.40 = 213,230.80 : x
  2. Step 2: Convert to fraction form
    229,819.60/344,729.40 = 213,230.80/x
  3. Step 3: Cross multiply
    229,819.60x = 344,729.40 × 213,230.80
  4. Step 4: Simplify right side
    229,819.60x = 73,506,925,745.52
  5. Step 5: Solve for x
    x = 73,506,925,745.52/229,819.60
  6. Step 6: Final answer
    x = 319,846.20

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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.