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Finding the Fourth Proportional to 664,506, 996,749.64 and 309,321.36

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Solution

The fourth proportional to 664,506, 996,749.64 and 309,321.36 is: 463,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,506 : 996,749.64 = 309,321.36 : x
  2. Step 2: Convert to fraction form
    664,506/996,749.64 = 309,321.36/x
  3. Step 3: Cross multiply
    664,506x = 996,749.64 × 309,321.36
  4. Step 4: Simplify right side
    664,506x = 308,315,954,224.31
  5. Step 5: Solve for x
    x = 308,315,954,224.31/664,506
  6. Step 6: Final answer
    x = 463,977.68

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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.