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Finding the Fourth Proportional to 398,138.40, 596,401.20 and 247,917.60

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Solution

The fourth proportional to 398,138.40, 596,401.20 and 247,917.60 is: 371,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,138.40 : 596,401.20 = 247,917.60 : x
  2. Step 2: Convert to fraction form
    398,138.40/596,401.20 = 247,917.60/x
  3. Step 3: Cross multiply
    398,138.40x = 596,401.20 × 247,917.60
  4. Step 4: Simplify right side
    398,138.40x = 147,858,354,141.12
  5. Step 5: Solve for x
    x = 147,858,354,141.12/398,138.40
  6. Step 6: Final answer
    x = 371,374.26

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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.