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Finding the Fourth Proportional to 512,201.80, 768,740.10 and 228,329.20

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Solution

The fourth proportional to 512,201.80, 768,740.10 and 228,329.20 is: 342,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,201.80 : 768,740.10 = 228,329.20 : x
  2. Step 2: Convert to fraction form
    512,201.80/768,740.10 = 228,329.20/x
  3. Step 3: Cross multiply
    512,201.80x = 768,740.10 × 228,329.20
  4. Step 4: Simplify right side
    512,201.80x = 175,525,812,040.92
  5. Step 5: Solve for x
    x = 175,525,812,040.92/512,201.80
  6. Step 6: Final answer
    x = 342,688.78

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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.