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Finding the Fourth Proportional to 541,290.69, 746,907.21 and 311,762.61

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Solution

The fourth proportional to 541,290.69, 746,907.21 and 311,762.61 is: 430,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,290.69 : 746,907.21 = 311,762.61 : x
  2. Step 2: Convert to fraction form
    541,290.69/746,907.21 = 311,762.61/x
  3. Step 3: Cross multiply
    541,290.69x = 746,907.21 × 311,762.61
  4. Step 4: Simplify right side
    541,290.69x = 232,857,741,217.42
  5. Step 5: Solve for x
    x = 232,857,741,217.42/541,290.69
  6. Step 6: Final answer
    x = 430,189.81

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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.