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Finding the Fourth Proportional to 419,573.52, 629,272.80 and 153,459.36

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Solution

The fourth proportional to 419,573.52, 629,272.80 and 153,459.36 is: 230,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,573.52 : 629,272.80 = 153,459.36 : x
  2. Step 2: Convert to fraction form
    419,573.52/629,272.80 = 153,459.36/x
  3. Step 3: Cross multiply
    419,573.52x = 629,272.80 × 153,459.36
  4. Step 4: Simplify right side
    419,573.52x = 96,567,801,153.41
  5. Step 5: Solve for x
    x = 96,567,801,153.41/419,573.52
  6. Step 6: Final answer
    x = 230,157.04

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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.