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Finding the Fourth Proportional to 543,761,401.70, 815,642,102.55 and 489,341,843.30

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Solution

The fourth proportional to 543,761,401.70, 815,642,102.55 and 489,341,843.30 is: 734,012,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,761,401.70 : 815,642,102.55 = 489,341,843.30 : x
  2. Step 2: Convert to fraction form
    543,761,401.70/815,642,102.55 = 489,341,843.30/x
  3. Step 3: Cross multiply
    543,761,401.70x = 815,642,102.55 × 489,341,843.30
  4. Step 4: Simplify right side
    543,761,401.70x = 399,127,809,934,904,640
  5. Step 5: Solve for x
    x = 399,127,809,934,904,640/543,761,401.70
  6. Step 6: Final answer
    x = 734,012,764.95

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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.