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Finding the Fourth Proportional to 492,367,998.80, 737,954,801.40 and 219,449,061.20

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Solution

The fourth proportional to 492,367,998.80, 737,954,801.40 and 219,449,061.20 is: 328,907,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,367,998.80 : 737,954,801.40 = 219,449,061.20 : x
  2. Step 2: Convert to fraction form
    492,367,998.80/737,954,801.40 = 219,449,061.20/x
  3. Step 3: Cross multiply
    492,367,998.80x = 737,954,801.40 × 219,449,061.20
  4. Step 4: Simplify right side
    492,367,998.80x = 161,943,488,375,262,432
  5. Step 5: Solve for x
    x = 161,943,488,375,262,432/492,367,998.80
  6. Step 6: Final answer
    x = 328,907,420.40

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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.