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Finding the Fourth Proportional to 805,861,755.72, 1,209,039,329.22 and 412,666,978.80

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Solution

The fourth proportional to 805,861,755.72, 1,209,039,329.22 and 412,666,978.80 is: 619,126,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,861,755.72 : 1,209,039,329.22 = 412,666,978.80 : x
  2. Step 2: Convert to fraction form
    805,861,755.72/1,209,039,329.22 = 412,666,978.80/x
  3. Step 3: Cross multiply
    805,861,755.72x = 1,209,039,329.22 × 412,666,978.80
  4. Step 4: Simplify right side
    805,861,755.72x = 498,930,607,239,595,968
  5. Step 5: Solve for x
    x = 498,930,607,239,595,968/805,861,755.72
  6. Step 6: Final answer
    x = 619,126,796.50

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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.