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Finding the Fourth Proportional to 398,642.80, 597,964.20 and 394,495.60

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Solution

The fourth proportional to 398,642.80, 597,964.20 and 394,495.60 is: 591,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,642.80 : 597,964.20 = 394,495.60 : x
  2. Step 2: Convert to fraction form
    398,642.80/597,964.20 = 394,495.60/x
  3. Step 3: Cross multiply
    398,642.80x = 597,964.20 × 394,495.60
  4. Step 4: Simplify right side
    398,642.80x = 235,894,245,857.52
  5. Step 5: Solve for x
    x = 235,894,245,857.52/398,642.80
  6. Step 6: Final answer
    x = 591,743.40

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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.