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Finding the Fourth Proportional to 275,359,511.70, 413,039,267.55 and 259,203,705.30

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Solution

The fourth proportional to 275,359,511.70, 413,039,267.55 and 259,203,705.30 is: 388,805,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,359,511.70 : 413,039,267.55 = 259,203,705.30 : x
  2. Step 2: Convert to fraction form
    275,359,511.70/413,039,267.55 = 259,203,705.30/x
  3. Step 3: Cross multiply
    275,359,511.70x = 413,039,267.55 × 259,203,705.30
  4. Step 4: Simplify right side
    275,359,511.70x = 107,061,308,583,358,064
  5. Step 5: Solve for x
    x = 107,061,308,583,358,064/275,359,511.70
  6. Step 6: Final answer
    x = 388,805,557.95

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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.