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Finding the Fourth Proportional to 419,726.14, 629,775.04 and 219,999.04

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Solution

The fourth proportional to 419,726.14, 629,775.04 and 219,999.04 is: 330,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.14 : 629,775.04 = 219,999.04 : x
  2. Step 2: Convert to fraction form
    419,726.14/629,775.04 = 219,999.04/x
  3. Step 3: Cross multiply
    419,726.14x = 629,775.04 × 219,999.04
  4. Step 4: Simplify right side
    419,726.14x = 138,549,904,215.96
  5. Step 5: Solve for x
    x = 138,549,904,215.96/419,726.14
  6. Step 6: Final answer
    x = 330,095.96

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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.