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Finding the Fourth Proportional to 547,967.20, 821,367.60 and 210,877.60

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Solution

The fourth proportional to 547,967.20, 821,367.60 and 210,877.60 is: 316,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,967.20 : 821,367.60 = 210,877.60 : x
  2. Step 2: Convert to fraction form
    547,967.20/821,367.60 = 210,877.60/x
  3. Step 3: Cross multiply
    547,967.20x = 821,367.60 × 210,877.60
  4. Step 4: Simplify right side
    547,967.20x = 173,208,028,205.76
  5. Step 5: Solve for x
    x = 173,208,028,205.76/547,967.20
  6. Step 6: Final answer
    x = 316,091.96

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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.