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Finding the Fourth Proportional to 324,821.40, 487,059.30 and 137,621.40

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Solution

The fourth proportional to 324,821.40, 487,059.30 and 137,621.40 is: 206,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,821.40 : 487,059.30 = 137,621.40 : x
  2. Step 2: Convert to fraction form
    324,821.40/487,059.30 = 137,621.40/x
  3. Step 3: Cross multiply
    324,821.40x = 487,059.30 × 137,621.40
  4. Step 4: Simplify right side
    324,821.40x = 67,029,782,749.02
  5. Step 5: Solve for x
    x = 67,029,782,749.02/324,821.40
  6. Step 6: Final answer
    x = 206,358.89

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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.