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Finding the Fourth Proportional to 413,739.70, 620,609.55 and 394,494.10

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Solution

The fourth proportional to 413,739.70, 620,609.55 and 394,494.10 is: 591,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,739.70 : 620,609.55 = 394,494.10 : x
  2. Step 2: Convert to fraction form
    413,739.70/620,609.55 = 394,494.10/x
  3. Step 3: Cross multiply
    413,739.70x = 620,609.55 × 394,494.10
  4. Step 4: Simplify right side
    413,739.70x = 244,826,805,878.66
  5. Step 5: Solve for x
    x = 244,826,805,878.66/413,739.70
  6. Step 6: Final answer
    x = 591,741.15

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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.