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Finding the Fourth Proportional to 332,133.40, 498,200.10 and 82,815.40

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Solution

The fourth proportional to 332,133.40, 498,200.10 and 82,815.40 is: 124,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,133.40 : 498,200.10 = 82,815.40 : x
  2. Step 2: Convert to fraction form
    332,133.40/498,200.10 = 82,815.40/x
  3. Step 3: Cross multiply
    332,133.40x = 498,200.10 × 82,815.40
  4. Step 4: Simplify right side
    332,133.40x = 41,258,640,561.54
  5. Step 5: Solve for x
    x = 41,258,640,561.54/332,133.40
  6. Step 6: Final answer
    x = 124,223.10

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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.