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Finding the Fourth Proportional to 395,624.10, 545,960.49 and 214,340.57

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Solution

The fourth proportional to 395,624.10, 545,960.49 and 214,340.57 is: 295,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,624.10 : 545,960.49 = 214,340.57 : x
  2. Step 2: Convert to fraction form
    395,624.10/545,960.49 = 214,340.57/x
  3. Step 3: Cross multiply
    395,624.10x = 545,960.49 × 214,340.57
  4. Step 4: Simplify right side
    395,624.10x = 117,021,479,894.28
  5. Step 5: Solve for x
    x = 117,021,479,894.28/395,624.10
  6. Step 6: Final answer
    x = 295,789.56

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1.5x scale

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.