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Finding the Fourth Proportional to 812,640,284.52, 1,121,375,132.34 and 450,543,934.80

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Solution

The fourth proportional to 812,640,284.52, 1,121,375,132.34 and 450,543,934.80 is: 621,712,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,640,284.52 : 1,121,375,132.34 = 450,543,934.80 : x
  2. Step 2: Convert to fraction form
    812,640,284.52/1,121,375,132.34 = 450,543,934.80/x
  3. Step 3: Cross multiply
    812,640,284.52x = 1,121,375,132.34 × 450,543,934.80
  4. Step 4: Simplify right side
    812,640,284.52x = 505,228,764,511,334,336
  5. Step 5: Solve for x
    x = 505,228,764,511,334,336/812,640,284.52
  6. Step 6: Final answer
    x = 621,712,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.