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Finding the Fourth Proportional to 242,680.80, 364,021.20 and 228,902.70

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Solution

The fourth proportional to 242,680.80, 364,021.20 and 228,902.70 is: 343,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,680.80 : 364,021.20 = 228,902.70 : x
  2. Step 2: Convert to fraction form
    242,680.80/364,021.20 = 228,902.70/x
  3. Step 3: Cross multiply
    242,680.80x = 364,021.20 × 228,902.70
  4. Step 4: Simplify right side
    242,680.80x = 83,325,435,537.24
  5. Step 5: Solve for x
    x = 83,325,435,537.24/242,680.80
  6. Step 6: Final answer
    x = 343,354.05

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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.