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Finding the Fourth Proportional to 289,550.48, 434,383.79 and 100,017.77

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Solution

The fourth proportional to 289,550.48, 434,383.79 and 100,017.77 is: 150,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,550.48 : 434,383.79 = 100,017.77 : x
  2. Step 2: Convert to fraction form
    289,550.48/434,383.79 = 100,017.77/x
  3. Step 3: Cross multiply
    289,550.48x = 434,383.79 × 100,017.77
  4. Step 4: Simplify right side
    289,550.48x = 43,446,095,327.94
  5. Step 5: Solve for x
    x = 43,446,095,327.94/289,550.48
  6. Step 6: Final answer
    x = 150,046.71

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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.