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Finding the Fourth Proportional to 275,441.92, 413,164.70 and 75,783.40

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Solution

The fourth proportional to 275,441.92, 413,164.70 and 75,783.40 is: 113,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,441.92 : 413,164.70 = 75,783.40 : x
  2. Step 2: Convert to fraction form
    275,441.92/413,164.70 = 75,783.40/x
  3. Step 3: Cross multiply
    275,441.92x = 413,164.70 × 75,783.40
  4. Step 4: Simplify right side
    275,441.92x = 31,311,025,725.98
  5. Step 5: Solve for x
    x = 31,311,025,725.98/275,441.92
  6. Step 6: Final answer
    x = 113,675.60

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1.5x scale

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.