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Finding the Fourth Proportional to 419,663.66, 629,565.20 and 166,946.59

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Solution

The fourth proportional to 419,663.66, 629,565.20 and 166,946.59 is: 250,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,663.66 : 629,565.20 = 166,946.59 : x
  2. Step 2: Convert to fraction form
    419,663.66/629,565.20 = 166,946.59/x
  3. Step 3: Cross multiply
    419,663.66x = 629,565.20 × 166,946.59
  4. Step 4: Simplify right side
    419,663.66x = 105,103,759,340.11
  5. Step 5: Solve for x
    x = 105,103,759,340.11/419,663.66
  6. Step 6: Final answer
    x = 250,447.61

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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.