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Finding the Fourth Proportional to 685,226.34, 945,970.48 and 427,181.94

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Solution

The fourth proportional to 685,226.34, 945,970.48 and 427,181.94 is: 589,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,226.34 : 945,970.48 = 427,181.94 : x
  2. Step 2: Convert to fraction form
    685,226.34/945,970.48 = 427,181.94/x
  3. Step 3: Cross multiply
    685,226.34x = 945,970.48 × 427,181.94
  4. Step 4: Simplify right side
    685,226.34x = 404,101,504,829.13
  5. Step 5: Solve for x
    x = 404,101,504,829.13/685,226.34
  6. Step 6: Final answer
    x = 589,734.34

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1.5x scale

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.