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Finding the Fourth Proportional to 463,043.44, 638,639.40 and 310,033

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Solution

The fourth proportional to 463,043.44, 638,639.40 and 310,033 is: 427,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,043.44 : 638,639.40 = 310,033 : x
  2. Step 2: Convert to fraction form
    463,043.44/638,639.40 = 310,033/x
  3. Step 3: Cross multiply
    463,043.44x = 638,639.40 × 310,033
  4. Step 4: Simplify right side
    463,043.44x = 197,999,289,100.20
  5. Step 5: Solve for x
    x = 197,999,289,100.20/463,043.44
  6. Step 6: Final answer
    x = 427,604.13

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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.