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Finding the Fourth Proportional to 509,326.40, 764,805.60 and 405,012.80

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Solution

The fourth proportional to 509,326.40, 764,805.60 and 405,012.80 is: 608,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,326.40 : 764,805.60 = 405,012.80 : x
  2. Step 2: Convert to fraction form
    509,326.40/764,805.60 = 405,012.80/x
  3. Step 3: Cross multiply
    509,326.40x = 764,805.60 × 405,012.80
  4. Step 4: Simplify right side
    509,326.40x = 309,756,057,511.68
  5. Step 5: Solve for x
    x = 309,756,057,511.68/509,326.40
  6. Step 6: Final answer
    x = 608,168.08

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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.