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Finding the Fourth Proportional to 398,904.21, 598,181.22 and 149,411.25

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Solution

The fourth proportional to 398,904.21, 598,181.22 and 149,411.25 is: 224,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,904.21 : 598,181.22 = 149,411.25 : x
  2. Step 2: Convert to fraction form
    398,904.21/598,181.22 = 149,411.25/x
  3. Step 3: Cross multiply
    398,904.21x = 598,181.22 × 149,411.25
  4. Step 4: Simplify right side
    398,904.21x = 89,375,003,806.73
  5. Step 5: Solve for x
    x = 89,375,003,806.73/398,904.21
  6. Step 6: Final answer
    x = 224,051.29

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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.