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Finding the Fourth Proportional to 322,936,543.20, 484,404,814.80 and 265,540,915.20

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Solution

The fourth proportional to 322,936,543.20, 484,404,814.80 and 265,540,915.20 is: 398,311,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,936,543.20 : 484,404,814.80 = 265,540,915.20 : x
  2. Step 2: Convert to fraction form
    322,936,543.20/484,404,814.80 = 265,540,915.20/x
  3. Step 3: Cross multiply
    322,936,543.20x = 484,404,814.80 × 265,540,915.20
  4. Step 4: Simplify right side
    322,936,543.20x = 128,629,297,849,278,496
  5. Step 5: Solve for x
    x = 128,629,297,849,278,496/322,936,543.20
  6. Step 6: Final answer
    x = 398,311,372.80

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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.