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Finding the Fourth Proportional to 275,328,955.20, 412,993,432.80 and 192,915,796.80

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Solution

The fourth proportional to 275,328,955.20, 412,993,432.80 and 192,915,796.80 is: 289,373,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,328,955.20 : 412,993,432.80 = 192,915,796.80 : x
  2. Step 2: Convert to fraction form
    275,328,955.20/412,993,432.80 = 192,915,796.80/x
  3. Step 3: Cross multiply
    275,328,955.20x = 412,993,432.80 × 192,915,796.80
  4. Step 4: Simplify right side
    275,328,955.20x = 79,672,957,161,779,264
  5. Step 5: Solve for x
    x = 79,672,957,161,779,264/275,328,955.20
  6. Step 6: Final answer
    x = 289,373,695.20

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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.