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Finding the Fourth Proportional to 311,568.87, 430,021.04 and 297,369.80

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Solution

The fourth proportional to 311,568.87, 430,021.04 and 297,369.80 is: 410,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,568.87 : 430,021.04 = 297,369.80 : x
  2. Step 2: Convert to fraction form
    311,568.87/430,021.04 = 297,369.80/x
  3. Step 3: Cross multiply
    311,568.87x = 430,021.04 × 297,369.80
  4. Step 4: Simplify right side
    311,568.87x = 127,875,267,023.64
  5. Step 5: Solve for x
    x = 127,875,267,023.64/311,568.87
  6. Step 6: Final answer
    x = 410,423.76

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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.