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Finding the Fourth Proportional to 398,701.20, 598,051.80 and 199,635.60

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Solution

The fourth proportional to 398,701.20, 598,051.80 and 199,635.60 is: 299,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,701.20 : 598,051.80 = 199,635.60 : x
  2. Step 2: Convert to fraction form
    398,701.20/598,051.80 = 199,635.60/x
  3. Step 3: Cross multiply
    398,701.20x = 598,051.80 × 199,635.60
  4. Step 4: Simplify right side
    398,701.20x = 119,392,429,924.08
  5. Step 5: Solve for x
    x = 119,392,429,924.08/398,701.20
  6. Step 6: Final answer
    x = 299,453.40

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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.