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Finding the Fourth Proportional to 468,455.14, 646,309.14 and 305,037.03

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Solution

The fourth proportional to 468,455.14, 646,309.14 and 305,037.03 is: 420,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,455.14 : 646,309.14 = 305,037.03 : x
  2. Step 2: Convert to fraction form
    468,455.14/646,309.14 = 305,037.03/x
  3. Step 3: Cross multiply
    468,455.14x = 646,309.14 × 305,037.03
  4. Step 4: Simplify right side
    468,455.14x = 197,148,220,527.45
  5. Step 5: Solve for x
    x = 197,148,220,527.45/468,455.14
  6. Step 6: Final answer
    x = 420,847.60

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