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Finding the Fourth Proportional to 398,536.40, 598,144.80 and 162,048.80

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Solution

The fourth proportional to 398,536.40, 598,144.80 and 162,048.80 is: 243,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,536.40 : 598,144.80 = 162,048.80 : x
  2. Step 2: Convert to fraction form
    398,536.40/598,144.80 = 162,048.80/x
  3. Step 3: Cross multiply
    398,536.40x = 598,144.80 × 162,048.80
  4. Step 4: Simplify right side
    398,536.40x = 96,928,647,066.24
  5. Step 5: Solve for x
    x = 96,928,647,066.24/398,536.40
  6. Step 6: Final answer
    x = 243,211.53

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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.