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Finding the Fourth Proportional to 398,880.96, 598,146 and 149,388

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Solution

The fourth proportional to 398,880.96, 598,146 and 149,388 is: 224,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,880.96 : 598,146 = 149,388 : x
  2. Step 2: Convert to fraction form
    398,880.96/598,146 = 149,388/x
  3. Step 3: Cross multiply
    398,880.96x = 598,146 × 149,388
  4. Step 4: Simplify right side
    398,880.96x = 89,355,834,648
  5. Step 5: Solve for x
    x = 89,355,834,648/398,880.96
  6. Step 6: Final answer
    x = 224,016.29

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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.