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Finding the Fourth Proportional to 332,138.40, 498,207.60 and 213,943.20

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Solution

The fourth proportional to 332,138.40, 498,207.60 and 213,943.20 is: 320,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,138.40 : 498,207.60 = 213,943.20 : x
  2. Step 2: Convert to fraction form
    332,138.40/498,207.60 = 213,943.20/x
  3. Step 3: Cross multiply
    332,138.40x = 498,207.60 × 213,943.20
  4. Step 4: Simplify right side
    332,138.40x = 106,588,128,208.32
  5. Step 5: Solve for x
    x = 106,588,128,208.32/332,138.40
  6. Step 6: Final answer
    x = 320,914.80

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1.5x scale

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.