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Finding the Fourth Proportional to 543,825, 815,820.24 and 277,440.04

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Solution

The fourth proportional to 543,825, 815,820.24 and 277,440.04 is: 416,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,825 : 815,820.24 = 277,440.04 : x
  2. Step 2: Convert to fraction form
    543,825/815,820.24 = 277,440.04/x
  3. Step 3: Cross multiply
    543,825x = 815,820.24 × 277,440.04
  4. Step 4: Simplify right side
    543,825x = 226,341,200,018.41
  5. Step 5: Solve for x
    x = 226,341,200,018.41/543,825
  6. Step 6: Final answer
    x = 416,202.27

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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.