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Finding the Fourth Proportional to 547,004.60, 821,351.70 and 298,172.60

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Solution

The fourth proportional to 547,004.60, 821,351.70 and 298,172.60 is: 447,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,004.60 : 821,351.70 = 298,172.60 : x
  2. Step 2: Convert to fraction form
    547,004.60/821,351.70 = 298,172.60/x
  3. Step 3: Cross multiply
    547,004.60x = 821,351.70 × 298,172.60
  4. Step 4: Simplify right side
    547,004.60x = 244,904,571,903.42
  5. Step 5: Solve for x
    x = 244,904,571,903.42/547,004.60
  6. Step 6: Final answer
    x = 447,719.40

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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.