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Finding the Fourth Proportional to 436,568,666.40, 654,943,978.80 and 145,526,205.60

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Solution

The fourth proportional to 436,568,666.40, 654,943,978.80 and 145,526,205.60 is: 218,319,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,568,666.40 : 654,943,978.80 = 145,526,205.60 : x
  2. Step 2: Convert to fraction form
    436,568,666.40/654,943,978.80 = 145,526,205.60/x
  3. Step 3: Cross multiply
    436,568,666.40x = 654,943,978.80 × 145,526,205.60
  4. Step 4: Simplify right side
    436,568,666.40x = 95,311,512,115,330,832
  5. Step 5: Solve for x
    x = 95,311,512,115,330,832/436,568,666.40
  6. Step 6: Final answer
    x = 218,319,635.49

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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.