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Finding the Fourth Proportional to 419,860.52, 629,725.86 and 153,558.76

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Solution

The fourth proportional to 419,860.52, 629,725.86 and 153,558.76 is: 230,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,860.52 : 629,725.86 = 153,558.76 : x
  2. Step 2: Convert to fraction form
    419,860.52/629,725.86 = 153,558.76/x
  3. Step 3: Cross multiply
    419,860.52x = 629,725.86 × 153,558.76
  4. Step 4: Simplify right side
    419,860.52x = 96,699,922,201.53
  5. Step 5: Solve for x
    x = 96,699,922,201.53/419,860.52
  6. Step 6: Final answer
    x = 230,314.40

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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.