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Finding the Fourth Proportional to 419,366.79, 629,070.87 and 119,891.16

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Solution

The fourth proportional to 419,366.79, 629,070.87 and 119,891.16 is: 179,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,366.79 : 629,070.87 = 119,891.16 : x
  2. Step 2: Convert to fraction form
    419,366.79/629,070.87 = 119,891.16/x
  3. Step 3: Cross multiply
    419,366.79x = 629,070.87 × 119,891.16
  4. Step 4: Simplify right side
    419,366.79x = 75,420,036,326.51
  5. Step 5: Solve for x
    x = 75,420,036,326.51/419,366.79
  6. Step 6: Final answer
    x = 179,842.65

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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.