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Finding the Fourth Proportional to 655,486,728.75, 982,591,033.50 and 261,896,209.74

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Solution

The fourth proportional to 655,486,728.75, 982,591,033.50 and 261,896,209.74 is: 392,588,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,486,728.75 : 982,591,033.50 = 261,896,209.74 : x
  2. Step 2: Convert to fraction form
    655,486,728.75/982,591,033.50 = 261,896,209.74/x
  3. Step 3: Cross multiply
    655,486,728.75x = 982,591,033.50 × 261,896,209.74
  4. Step 4: Simplify right side
    655,486,728.75x = 257,336,867,398,159,360
  5. Step 5: Solve for x
    x = 257,336,867,398,159,360/655,486,728.75
  6. Step 6: Final answer
    x = 392,588,981.76

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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.