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Finding the Fourth Proportional to 469,852, 648,933.96 and 309,424.12

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Solution

The fourth proportional to 469,852, 648,933.96 and 309,424.12 is: 427,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,852 : 648,933.96 = 309,424.12 : x
  2. Step 2: Convert to fraction form
    469,852/648,933.96 = 309,424.12/x
  3. Step 3: Cross multiply
    469,852x = 648,933.96 × 309,424.12
  4. Step 4: Simplify right side
    469,852x = 200,795,819,511.12
  5. Step 5: Solve for x
    x = 200,795,819,511.12/469,852
  6. Step 6: Final answer
    x = 427,359.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.