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Finding the Fourth Proportional to 547,903.20, 821,271.60 and 210,813.60

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Solution

The fourth proportional to 547,903.20, 821,271.60 and 210,813.60 is: 315,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,903.20 : 821,271.60 = 210,813.60 : x
  2. Step 2: Convert to fraction form
    547,903.20/821,271.60 = 210,813.60/x
  3. Step 3: Cross multiply
    547,903.20x = 821,271.60 × 210,813.60
  4. Step 4: Simplify right side
    547,903.20x = 173,135,222,573.76
  5. Step 5: Solve for x
    x = 173,135,222,573.76/547,903.20
  6. Step 6: Final answer
    x = 315,996.01

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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.