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Finding the Fourth Proportional to 395,409.28, 591,735.48 and 323,500.72

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Solution

The fourth proportional to 395,409.28, 591,735.48 and 323,500.72 is: 484,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409.28 : 591,735.48 = 323,500.72 : x
  2. Step 2: Convert to fraction form
    395,409.28/591,735.48 = 323,500.72/x
  3. Step 3: Cross multiply
    395,409.28x = 591,735.48 × 323,500.72
  4. Step 4: Simplify right side
    395,409.28x = 191,426,853,829.55
  5. Step 5: Solve for x
    x = 191,426,853,829.55/395,409.28
  6. Step 6: Final answer
    x = 484,123.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.