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Finding the Fourth Proportional to 434,751.66, 599,327.37 and 305,295.84

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Solution

The fourth proportional to 434,751.66, 599,327.37 and 305,295.84 is: 420,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,751.66 : 599,327.37 = 305,295.84 : x
  2. Step 2: Convert to fraction form
    434,751.66/599,327.37 = 305,295.84/x
  3. Step 3: Cross multiply
    434,751.66x = 599,327.37 × 305,295.84
  4. Step 4: Simplify right side
    434,751.66x = 182,972,152,859.14
  5. Step 5: Solve for x
    x = 182,972,152,859.14/434,751.66
  6. Step 6: Final answer
    x = 420,865.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.