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Finding the Fourth Proportional to 311,574.87, 430,029.32 and 297,375.80

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Solution

The fourth proportional to 311,574.87, 430,029.32 and 297,375.80 is: 410,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,574.87 : 430,029.32 = 297,375.80 : x
  2. Step 2: Convert to fraction form
    311,574.87/430,029.32 = 297,375.80/x
  3. Step 3: Cross multiply
    311,574.87x = 430,029.32 × 297,375.80
  4. Step 4: Simplify right side
    311,574.87x = 127,880,309,421.43
  5. Step 5: Solve for x
    x = 127,880,309,421.43/311,574.87
  6. Step 6: Final answer
    x = 410,432.04

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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.