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Finding the Fourth Proportional to 405,958.24, 560,757.84 and 311,630.56

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Solution

The fourth proportional to 405,958.24, 560,757.84 and 311,630.56 is: 430,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,958.24 : 560,757.84 = 311,630.56 : x
  2. Step 2: Convert to fraction form
    405,958.24/560,757.84 = 311,630.56/x
  3. Step 3: Cross multiply
    405,958.24x = 560,757.84 × 311,630.56
  4. Step 4: Simplify right side
    405,958.24x = 174,749,279,703.59
  5. Step 5: Solve for x
    x = 174,749,279,703.59/405,958.24
  6. Step 6: Final answer
    x = 430,461.22

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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.