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Finding the Fourth Proportional to 314,478.75, 471,324.32 and 247,654.97

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Solution

The fourth proportional to 314,478.75, 471,324.32 and 247,654.97 is: 371,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,478.75 : 471,324.32 = 247,654.97 : x
  2. Step 2: Convert to fraction form
    314,478.75/471,324.32 = 247,654.97/x
  3. Step 3: Cross multiply
    314,478.75x = 471,324.32 × 247,654.97
  4. Step 4: Simplify right side
    314,478.75x = 116,725,809,431.15
  5. Step 5: Solve for x
    x = 116,725,809,431.15/314,478.75
  6. Step 6: Final answer
    x = 371,172.32

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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.