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Finding the Fourth Proportional to 419,663.16, 629,564.45 and 166,946.09

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Solution

The fourth proportional to 419,663.16, 629,564.45 and 166,946.09 is: 250,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,663.16 : 629,564.45 = 166,946.09 : x
  2. Step 2: Convert to fraction form
    419,663.16/629,564.45 = 166,946.09/x
  3. Step 3: Cross multiply
    419,663.16x = 629,564.45 × 166,946.09
  4. Step 4: Simplify right side
    419,663.16x = 105,103,319,347.95
  5. Step 5: Solve for x
    x = 105,103,319,347.95/419,663.16
  6. Step 6: Final answer
    x = 250,446.86

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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.