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Finding the Fourth Proportional to 419,409.19, 629,115.76 and 179,488.00

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Solution

The fourth proportional to 419,409.19, 629,115.76 and 179,488.00 is: 269,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,409.19 : 629,115.76 = 179,488.00 : x
  2. Step 2: Convert to fraction form
    419,409.19/629,115.76 = 179,488.00/x
  3. Step 3: Cross multiply
    419,409.19x = 629,115.76 × 179,488.00
  4. Step 4: Simplify right side
    419,409.19x = 112,918,730,541.64
  5. Step 5: Solve for x
    x = 112,918,730,541.64/419,409.19
  6. Step 6: Final answer
    x = 269,232.85

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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.