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Finding the Fourth Proportional to 509,404.40, 764,922.60 and 405,090.80

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Solution

The fourth proportional to 509,404.40, 764,922.60 and 405,090.80 is: 608,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,404.40 : 764,922.60 = 405,090.80 : x
  2. Step 2: Convert to fraction form
    509,404.40/764,922.60 = 405,090.80/x
  3. Step 3: Cross multiply
    509,404.40x = 764,922.60 × 405,090.80
  4. Step 4: Simplify right side
    509,404.40x = 309,863,107,972.08
  5. Step 5: Solve for x
    x = 309,863,107,972.08/509,404.40
  6. Step 6: Final answer
    x = 608,285.10

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1.5x scale

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.