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Finding the Fourth Proportional to 612,081.21, 843,781.83 and 427,747.50

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Solution

The fourth proportional to 612,081.21, 843,781.83 and 427,747.50 is: 589,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,081.21 : 843,781.83 = 427,747.50 : x
  2. Step 2: Convert to fraction form
    612,081.21/843,781.83 = 427,747.50/x
  3. Step 3: Cross multiply
    612,081.21x = 843,781.83 × 427,747.50
  4. Step 4: Simplify right side
    612,081.21x = 360,925,568,327.93
  5. Step 5: Solve for x
    x = 360,925,568,327.93/612,081.21
  6. Step 6: Final answer
    x = 589,669.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.