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Finding the Fourth Proportional to 300,639.91, 413,938.87 and 255,223.75

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Solution

The fourth proportional to 300,639.91, 413,938.87 and 255,223.75 is: 351,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,639.91 : 413,938.87 = 255,223.75 : x
  2. Step 2: Convert to fraction form
    300,639.91/413,938.87 = 255,223.75/x
  3. Step 3: Cross multiply
    300,639.91x = 413,938.87 × 255,223.75
  4. Step 4: Simplify right side
    300,639.91x = 105,647,030,672.16
  5. Step 5: Solve for x
    x = 105,647,030,672.16/300,639.91
  6. Step 6: Final answer
    x = 351,407.21

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1.5x scale

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.