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Finding the Fourth Proportional to 398,846.32, 598,094.30 and 149,353.36

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Solution

The fourth proportional to 398,846.32, 598,094.30 and 149,353.36 is: 223,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,846.32 : 598,094.30 = 149,353.36 : x
  2. Step 2: Convert to fraction form
    398,846.32/598,094.30 = 149,353.36/x
  3. Step 3: Cross multiply
    398,846.32x = 598,094.30 × 149,353.36
  4. Step 4: Simplify right side
    398,846.32x = 89,327,393,301.85
  5. Step 5: Solve for x
    x = 89,327,393,301.85/398,846.32
  6. Step 6: Final answer
    x = 223,964.44

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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.