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Finding the Fourth Proportional to 255,512,334.80, 383,324,489.40 and 82,959,784.40

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Solution

The fourth proportional to 255,512,334.80, 383,324,489.40 and 82,959,784.40 is: 124,457,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,512,334.80 : 383,324,489.40 = 82,959,784.40 : x
  2. Step 2: Convert to fraction form
    255,512,334.80/383,324,489.40 = 82,959,784.40/x
  3. Step 3: Cross multiply
    255,512,334.80x = 383,324,489.40 × 82,959,784.40
  4. Step 4: Simplify right side
    255,512,334.80x = 31,800,516,995,864,084
  5. Step 5: Solve for x
    x = 31,800,516,995,864,084/255,512,334.80
  6. Step 6: Final answer
    x = 124,457,854.53

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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.