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Finding the Fourth Proportional to 419,776.83, 629,758.80 and 153,531.45

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Solution

The fourth proportional to 419,776.83, 629,758.80 and 153,531.45 is: 230,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,776.83 : 629,758.80 = 153,531.45 : x
  2. Step 2: Convert to fraction form
    419,776.83/629,758.80 = 153,531.45/x
  3. Step 3: Cross multiply
    419,776.83x = 629,758.80 × 153,531.45
  4. Step 4: Simplify right side
    419,776.83x = 96,687,781,714.26
  5. Step 5: Solve for x
    x = 96,687,781,714.26/419,776.83
  6. Step 6: Final answer
    x = 230,331.39

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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.