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Finding the Fourth Proportional to 455,609.84, 683,469.48 and 189,550.40

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Solution

The fourth proportional to 455,609.84, 683,469.48 and 189,550.40 is: 284,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,609.84 : 683,469.48 = 189,550.40 : x
  2. Step 2: Convert to fraction form
    455,609.84/683,469.48 = 189,550.40/x
  3. Step 3: Cross multiply
    455,609.84x = 683,469.48 × 189,550.40
  4. Step 4: Simplify right side
    455,609.84x = 129,551,913,321.79
  5. Step 5: Solve for x
    x = 129,551,913,321.79/455,609.84
  6. Step 6: Final answer
    x = 284,348.37

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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.