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Finding the Fourth Proportional to 398,077.60, 597,116.40 and 131,846.80

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Solution

The fourth proportional to 398,077.60, 597,116.40 and 131,846.80 is: 197,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,077.60 : 597,116.40 = 131,846.80 : x
  2. Step 2: Convert to fraction form
    398,077.60/597,116.40 = 131,846.80/x
  3. Step 3: Cross multiply
    398,077.60x = 597,116.40 × 131,846.80
  4. Step 4: Simplify right side
    398,077.60x = 78,727,886,567.52
  5. Step 5: Solve for x
    x = 78,727,886,567.52/398,077.60
  6. Step 6: Final answer
    x = 197,770.20

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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.