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Finding the Fourth Proportional to 431,568,352.80, 646,608,511.80 and 201,064,676.40

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Solution

The fourth proportional to 431,568,352.80, 646,608,511.80 and 201,064,676.40 is: 301,250,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568,352.80 : 646,608,511.80 = 201,064,676.40 : x
  2. Step 2: Convert to fraction form
    431,568,352.80/646,608,511.80 = 201,064,676.40/x
  3. Step 3: Cross multiply
    431,568,352.80x = 646,608,511.80 × 201,064,676.40
  4. Step 4: Simplify right side
    431,568,352.80x = 130,010,131,182,552,576
  5. Step 5: Solve for x
    x = 130,010,131,182,552,576/431,568,352.80
  6. Step 6: Final answer
    x = 301,250,382.10

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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.