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Finding the Fourth Proportional to 280,264,879.80, 420,397,319.70 and 259,857,545.40

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Solution

The fourth proportional to 280,264,879.80, 420,397,319.70 and 259,857,545.40 is: 389,786,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,264,879.80 : 420,397,319.70 = 259,857,545.40 : x
  2. Step 2: Convert to fraction form
    280,264,879.80/420,397,319.70 = 259,857,545.40/x
  3. Step 3: Cross multiply
    280,264,879.80x = 420,397,319.70 × 259,857,545.40
  4. Step 4: Simplify right side
    280,264,879.80x = 109,243,415,589,981,056
  5. Step 5: Solve for x
    x = 109,243,415,589,981,056/280,264,879.80
  6. Step 6: Final answer
    x = 389,786,318.10

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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.