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Finding the Fourth Proportional to 275,359,539.70, 413,039,309.55 and 259,203,733.30

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Solution

The fourth proportional to 275,359,539.70, 413,039,309.55 and 259,203,733.30 is: 388,805,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,359,539.70 : 413,039,309.55 = 259,203,733.30 : x
  2. Step 2: Convert to fraction form
    275,359,539.70/413,039,309.55 = 259,203,733.30/x
  3. Step 3: Cross multiply
    275,359,539.70x = 413,039,309.55 × 259,203,733.30
  4. Step 4: Simplify right side
    275,359,539.70x = 107,061,331,035,014,352
  5. Step 5: Solve for x
    x = 107,061,331,035,014,352/275,359,539.70
  6. Step 6: Final answer
    x = 388,805,599.95

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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.