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Finding the Fourth Proportional to 395,354, 545,180.72 and 338,182.57

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Solution

The fourth proportional to 395,354, 545,180.72 and 338,182.57 is: 466,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,354 : 545,180.72 = 338,182.57 : x
  2. Step 2: Convert to fraction form
    395,354/545,180.72 = 338,182.57/x
  3. Step 3: Cross multiply
    395,354x = 545,180.72 × 338,182.57
  4. Step 4: Simplify right side
    395,354x = 184,370,617,004.05
  5. Step 5: Solve for x
    x = 184,370,617,004.05/395,354
  6. Step 6: Final answer
    x = 466,343.12

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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.