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Finding the Fourth Proportional to 284,107.40, 425,865.90 and 115,555.40

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Solution

The fourth proportional to 284,107.40, 425,865.90 and 115,555.40 is: 173,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,107.40 : 425,865.90 = 115,555.40 : x
  2. Step 2: Convert to fraction form
    284,107.40/425,865.90 = 115,555.40/x
  3. Step 3: Cross multiply
    284,107.40x = 425,865.90 × 115,555.40
  4. Step 4: Simplify right side
    284,107.40x = 49,211,104,420.86
  5. Step 5: Solve for x
    x = 49,211,104,420.86/284,107.40
  6. Step 6: Final answer
    x = 173,213.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.