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Finding the Fourth Proportional to 411,292.80, 616,550.40 and 242,942.40

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Solution

The fourth proportional to 411,292.80, 616,550.40 and 242,942.40 is: 364,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,292.80 : 616,550.40 = 242,942.40 : x
  2. Step 2: Convert to fraction form
    411,292.80/616,550.40 = 242,942.40/x
  3. Step 3: Cross multiply
    411,292.80x = 616,550.40 × 242,942.40
  4. Step 4: Simplify right side
    411,292.80x = 149,786,233,896.96
  5. Step 5: Solve for x
    x = 149,786,233,896.96/411,292.80
  6. Step 6: Final answer
    x = 364,183.94

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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.