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Finding the Fourth Proportional to 434,399.56, 599,115.92 and 305,763.87

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Solution

The fourth proportional to 434,399.56, 599,115.92 and 305,763.87 is: 421,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,399.56 : 599,115.92 = 305,763.87 : x
  2. Step 2: Convert to fraction form
    434,399.56/599,115.92 = 305,763.87/x
  3. Step 3: Cross multiply
    434,399.56x = 599,115.92 × 305,763.87
  4. Step 4: Simplify right side
    434,399.56x = 183,188,002,277.81
  5. Step 5: Solve for x
    x = 183,188,002,277.81/434,399.56
  6. Step 6: Final answer
    x = 421,703.93

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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.