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Finding the Fourth Proportional to 550,255.20, 824,902.80 and 213,525.60

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Solution

The fourth proportional to 550,255.20, 824,902.80 and 213,525.60 is: 320,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,255.20 : 824,902.80 = 213,525.60 : x
  2. Step 2: Convert to fraction form
    550,255.20/824,902.80 = 213,525.60/x
  3. Step 3: Cross multiply
    550,255.20x = 824,902.80 × 213,525.60
  4. Step 4: Simplify right side
    550,255.20x = 176,137,865,311.68
  5. Step 5: Solve for x
    x = 176,137,865,311.68/550,255.20
  6. Step 6: Final answer
    x = 320,102.14

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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.