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Finding the Fourth Proportional to 509,304.40, 764,772.60 and 404,990.80

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Solution

The fourth proportional to 509,304.40, 764,772.60 and 404,990.80 is: 608,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304.40 : 764,772.60 = 404,990.80 : x
  2. Step 2: Convert to fraction form
    509,304.40/764,772.60 = 404,990.80/x
  3. Step 3: Cross multiply
    509,304.40x = 764,772.60 × 404,990.80
  4. Step 4: Simplify right side
    509,304.40x = 309,725,867,092.08
  5. Step 5: Solve for x
    x = 309,725,867,092.08/509,304.40
  6. Step 6: Final answer
    x = 608,135.07

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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.