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Finding the Fourth Proportional to 402,563.80, 603,327.30 and 191,747.80

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Solution

The fourth proportional to 402,563.80, 603,327.30 and 191,747.80 is: 287,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,563.80 : 603,327.30 = 191,747.80 : x
  2. Step 2: Convert to fraction form
    402,563.80/603,327.30 = 191,747.80/x
  3. Step 3: Cross multiply
    402,563.80x = 603,327.30 × 191,747.80
  4. Step 4: Simplify right side
    402,563.80x = 115,686,682,454.94
  5. Step 5: Solve for x
    x = 115,686,682,454.94/402,563.80
  6. Step 6: Final answer
    x = 287,374.78

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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.