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Finding the Fourth Proportional to 402,755.10, 603,441.45 and 191,939.10

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Solution

The fourth proportional to 402,755.10, 603,441.45 and 191,939.10 is: 287,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,755.10 : 603,441.45 = 191,939.10 : x
  2. Step 2: Convert to fraction form
    402,755.10/603,441.45 = 191,939.10/x
  3. Step 3: Cross multiply
    402,755.10x = 603,441.45 × 191,939.10
  4. Step 4: Simplify right side
    402,755.10x = 115,824,008,815.70
  5. Step 5: Solve for x
    x = 115,824,008,815.70/402,755.10
  6. Step 6: Final answer
    x = 287,579.25

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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.