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Finding the Fourth Proportional to 398,639.80, 597,959.70 and 394,492.60

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Solution

The fourth proportional to 398,639.80, 597,959.70 and 394,492.60 is: 591,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,639.80 : 597,959.70 = 394,492.60 : x
  2. Step 2: Convert to fraction form
    398,639.80/597,959.70 = 394,492.60/x
  3. Step 3: Cross multiply
    398,639.80x = 597,959.70 × 394,492.60
  4. Step 4: Simplify right side
    398,639.80x = 235,890,676,748.22
  5. Step 5: Solve for x
    x = 235,890,676,748.22/398,639.80
  6. Step 6: Final answer
    x = 591,738.90

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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.