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Finding the Fourth Proportional to 394,147.59, 543,923.65 and 212,859.54

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Solution

The fourth proportional to 394,147.59, 543,923.65 and 212,859.54 is: 293,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,147.59 : 543,923.65 = 212,859.54 : x
  2. Step 2: Convert to fraction form
    394,147.59/543,923.65 = 212,859.54/x
  3. Step 3: Cross multiply
    394,147.59x = 543,923.65 × 212,859.54
  4. Step 4: Simplify right side
    394,147.59x = 115,779,337,934.12
  5. Step 5: Solve for x
    x = 115,779,337,934.12/394,147.59
  6. Step 6: Final answer
    x = 293,746.15

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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.