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Finding the Fourth Proportional to 509,335.40, 764,819.10 and 405,021.80

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Solution

The fourth proportional to 509,335.40, 764,819.10 and 405,021.80 is: 608,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,335.40 : 764,819.10 = 405,021.80 : x
  2. Step 2: Convert to fraction form
    509,335.40/764,819.10 = 405,021.80/x
  3. Step 3: Cross multiply
    509,335.40x = 764,819.10 × 405,021.80
  4. Step 4: Simplify right side
    509,335.40x = 309,768,408,556.38
  5. Step 5: Solve for x
    x = 309,768,408,556.38/509,335.40
  6. Step 6: Final answer
    x = 608,181.58

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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.