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Finding the Fourth Proportional to 394,142.65, 543,916.78 and 212,854.57

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Solution

The fourth proportional to 394,142.65, 543,916.78 and 212,854.57 is: 293,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,142.65 : 543,916.78 = 212,854.57 : x
  2. Step 2: Convert to fraction form
    394,142.65/543,916.78 = 212,854.57/x
  3. Step 3: Cross multiply
    394,142.65x = 543,916.78 × 212,854.57
  4. Step 4: Simplify right side
    394,142.65x = 115,775,170,430.76
  5. Step 5: Solve for x
    x = 115,775,170,430.76/394,142.65
  6. Step 6: Final answer
    x = 293,739.26

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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.