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Finding the Fourth Proportional to 419,415.48, 629,393.88 and 153,153.70

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Solution

The fourth proportional to 419,415.48, 629,393.88 and 153,153.70 is: 229,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,415.48 : 629,393.88 = 153,153.70 : x
  2. Step 2: Convert to fraction form
    419,415.48/629,393.88 = 153,153.70/x
  3. Step 3: Cross multiply
    419,415.48x = 629,393.88 × 153,153.70
  4. Step 4: Simplify right side
    419,415.48x = 96,394,001,479.36
  5. Step 5: Solve for x
    x = 96,394,001,479.36/419,415.48
  6. Step 6: Final answer
    x = 229,829.38

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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.