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Finding the Fourth Proportional to 509,930.21, 764,550.23 and 285,445.59

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Solution

The fourth proportional to 509,930.21, 764,550.23 and 285,445.59 is: 427,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,930.21 : 764,550.23 = 285,445.59 : x
  2. Step 2: Convert to fraction form
    509,930.21/764,550.23 = 285,445.59/x
  3. Step 3: Cross multiply
    509,930.21x = 764,550.23 × 285,445.59
  4. Step 4: Simplify right side
    509,930.21x = 218,237,490,059.76
  5. Step 5: Solve for x
    x = 218,237,490,059.76/509,930.21
  6. Step 6: Final answer
    x = 427,975.22

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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.