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Finding the Fourth Proportional to 413,381.60, 620,072.40 and 263,790.80

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Solution

The fourth proportional to 413,381.60, 620,072.40 and 263,790.80 is: 395,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,381.60 : 620,072.40 = 263,790.80 : x
  2. Step 2: Convert to fraction form
    413,381.60/620,072.40 = 263,790.80/x
  3. Step 3: Cross multiply
    413,381.60x = 620,072.40 × 263,790.80
  4. Step 4: Simplify right side
    413,381.60x = 163,569,394,453.92
  5. Step 5: Solve for x
    x = 163,569,394,453.92/413,381.60
  6. Step 6: Final answer
    x = 395,686.20

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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.