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Finding the Fourth Proportional to 537,957,703.80, 806,936,555.70 and 320,279,470.20

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Solution

The fourth proportional to 537,957,703.80, 806,936,555.70 and 320,279,470.20 is: 480,419,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,957,703.80 : 806,936,555.70 = 320,279,470.20 : x
  2. Step 2: Convert to fraction form
    537,957,703.80/806,936,555.70 = 320,279,470.20/x
  3. Step 3: Cross multiply
    537,957,703.80x = 806,936,555.70 × 320,279,470.20
  4. Step 4: Simplify right side
    537,957,703.80x = 258,445,212,544,608,800
  5. Step 5: Solve for x
    x = 258,445,212,544,608,800/537,957,703.80
  6. Step 6: Final answer
    x = 480,419,205.30

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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.