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Finding the Fourth Proportional to 419,435.82, 629,000.64 and 153,117.54

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Solution

The fourth proportional to 419,435.82, 629,000.64 and 153,117.54 is: 229,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,435.82 : 629,000.64 = 153,117.54 : x
  2. Step 2: Convert to fraction form
    419,435.82/629,000.64 = 153,117.54/x
  3. Step 3: Cross multiply
    419,435.82x = 629,000.64 × 153,117.54
  4. Step 4: Simplify right side
    419,435.82x = 96,311,030,655.23
  5. Step 5: Solve for x
    x = 96,311,030,655.23/419,435.82
  6. Step 6: Final answer
    x = 229,620.42

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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.