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Finding the Fourth Proportional to 419,827.97, 629,744.79 and 153,478.91

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Solution

The fourth proportional to 419,827.97, 629,744.79 and 153,478.91 is: 230,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,827.97 : 629,744.79 = 153,478.91 : x
  2. Step 2: Convert to fraction form
    419,827.97/629,744.79 = 153,478.91/x
  3. Step 3: Cross multiply
    419,827.97x = 629,744.79 × 153,478.91
  4. Step 4: Simplify right side
    419,827.97x = 96,652,543,947.38
  5. Step 5: Solve for x
    x = 96,652,543,947.38/419,827.97
  6. Step 6: Final answer
    x = 230,219.40

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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.