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Finding the Fourth Proportional to 542,671.85, 749,230.21 and 349,169.54

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Solution

The fourth proportional to 542,671.85, 749,230.21 and 349,169.54 is: 482,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,671.85 : 749,230.21 = 349,169.54 : x
  2. Step 2: Convert to fraction form
    542,671.85/749,230.21 = 349,169.54/x
  3. Step 3: Cross multiply
    542,671.85x = 749,230.21 × 349,169.54
  4. Step 4: Simplify right side
    542,671.85x = 261,608,362,506.04
  5. Step 5: Solve for x
    x = 261,608,362,506.04/542,671.85
  6. Step 6: Final answer
    x = 482,074.69

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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.