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Finding the Fourth Proportional to 509,156.40, 764,550.60 and 404,842.80

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Solution

The fourth proportional to 509,156.40, 764,550.60 and 404,842.80 is: 607,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,156.40 : 764,550.60 = 404,842.80 : x
  2. Step 2: Convert to fraction form
    509,156.40/764,550.60 = 404,842.80/x
  3. Step 3: Cross multiply
    509,156.40x = 764,550.60 × 404,842.80
  4. Step 4: Simplify right side
    509,156.40x = 309,522,805,645.68
  5. Step 5: Solve for x
    x = 309,522,805,645.68/509,156.40
  6. Step 6: Final answer
    x = 607,913.02

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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.