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Finding the Fourth Proportional to 428,489.78, 589,969.70 and 363,824.24

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Solution

The fourth proportional to 428,489.78, 589,969.70 and 363,824.24 is: 500,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,489.78 : 589,969.70 = 363,824.24 : x
  2. Step 2: Convert to fraction form
    428,489.78/589,969.70 = 363,824.24/x
  3. Step 3: Cross multiply
    428,489.78x = 589,969.70 × 363,824.24
  4. Step 4: Simplify right side
    428,489.78x = 214,645,277,725.53
  5. Step 5: Solve for x
    x = 214,645,277,725.53/428,489.78
  6. Step 6: Final answer
    x = 500,934.42

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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.