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Finding the Fourth Proportional to 387,375.85, 534,628.61 and 217,642.78

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Solution

The fourth proportional to 387,375.85, 534,628.61 and 217,642.78 is: 300,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,375.85 : 534,628.61 = 217,642.78 : x
  2. Step 2: Convert to fraction form
    387,375.85/534,628.61 = 217,642.78/x
  3. Step 3: Cross multiply
    387,375.85x = 534,628.61 × 217,642.78
  4. Step 4: Simplify right side
    387,375.85x = 116,358,056,947.94
  5. Step 5: Solve for x
    x = 116,358,056,947.94/387,375.85
  6. Step 6: Final answer
    x = 300,375.09

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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.