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Finding the Fourth Proportional to 419,813.28, 629,340.48 and 153,385.92

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Solution

The fourth proportional to 419,813.28, 629,340.48 and 153,385.92 is: 229,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,813.28 : 629,340.48 = 153,385.92 : x
  2. Step 2: Convert to fraction form
    419,813.28/629,340.48 = 153,385.92/x
  3. Step 3: Cross multiply
    419,813.28x = 629,340.48 × 153,385.92
  4. Step 4: Simplify right side
    419,813.28x = 96,531,968,518.04
  5. Step 5: Solve for x
    x = 96,531,968,518.04/419,813.28
  6. Step 6: Final answer
    x = 229,940.25

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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.