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Finding the Fourth Proportional to 405,959.24, 560,759.22 and 311,631.56

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Solution

The fourth proportional to 405,959.24, 560,759.22 and 311,631.56 is: 430,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,959.24 : 560,759.22 = 311,631.56 : x
  2. Step 2: Convert to fraction form
    405,959.24/560,759.22 = 311,631.56/x
  3. Step 3: Cross multiply
    405,959.24x = 560,759.22 × 311,631.56
  4. Step 4: Simplify right side
    405,959.24x = 174,750,270,512.98
  5. Step 5: Solve for x
    x = 174,750,270,512.98/405,959.24
  6. Step 6: Final answer
    x = 430,462.60

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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.