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Finding the Fourth Proportional to 462,608.58, 638,204.32 and 309,696.02

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Solution

The fourth proportional to 462,608.58, 638,204.32 and 309,696.02 is: 427,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,608.58 : 638,204.32 = 309,696.02 : x
  2. Step 2: Convert to fraction form
    462,608.58/638,204.32 = 309,696.02/x
  3. Step 3: Cross multiply
    462,608.58x = 638,204.32 × 309,696.02
  4. Step 4: Simplify right side
    462,608.58x = 197,649,337,850.81
  5. Step 5: Solve for x
    x = 197,649,337,850.81/462,608.58
  6. Step 6: Final answer
    x = 427,249.62

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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.