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Finding the Fourth Proportional to 419,917.60, 629,876.40 and 414,020.80

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Solution

The fourth proportional to 419,917.60, 629,876.40 and 414,020.80 is: 621,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,917.60 : 629,876.40 = 414,020.80 : x
  2. Step 2: Convert to fraction form
    419,917.60/629,876.40 = 414,020.80/x
  3. Step 3: Cross multiply
    419,917.60x = 629,876.40 × 414,020.80
  4. Step 4: Simplify right side
    419,917.60x = 260,781,931,029.12
  5. Step 5: Solve for x
    x = 260,781,931,029.12/419,917.60
  6. Step 6: Final answer
    x = 621,031.20

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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.