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Finding the Fourth Proportional to 324,587,728, 486,909,931.20 and 82,250,640.64

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Solution

The fourth proportional to 324,587,728, 486,909,931.20 and 82,250,640.64 is: 123,383,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,587,728 : 486,909,931.20 = 82,250,640.64 : x
  2. Step 2: Convert to fraction form
    324,587,728/486,909,931.20 = 82,250,640.64/x
  3. Step 3: Cross multiply
    324,587,728x = 486,909,931.20 × 82,250,640.64
  4. Step 4: Simplify right side
    324,587,728x = 40,048,653,775,178,320
  5. Step 5: Solve for x
    x = 40,048,653,775,178,320/324,587,728
  6. Step 6: Final answer
    x = 123,383,142.12

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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.