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Finding the Fourth Proportional to 313,100.66, 431,793.78 and 264,803.78

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Solution

The fourth proportional to 313,100.66, 431,793.78 and 264,803.78 is: 365,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,100.66 : 431,793.78 = 264,803.78 : x
  2. Step 2: Convert to fraction form
    313,100.66/431,793.78 = 264,803.78/x
  3. Step 3: Cross multiply
    313,100.66x = 431,793.78 × 264,803.78
  4. Step 4: Simplify right side
    313,100.66x = 114,340,625,124.49
  5. Step 5: Solve for x
    x = 114,340,625,124.49/313,100.66
  6. Step 6: Final answer
    x = 365,188.07

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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.