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Finding the Fourth Proportional to 252,652,519.80, 378,978,779.70 and 215,664,226.20

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Solution

The fourth proportional to 252,652,519.80, 378,978,779.70 and 215,664,226.20 is: 323,496,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,652,519.80 : 378,978,779.70 = 215,664,226.20 : x
  2. Step 2: Convert to fraction form
    252,652,519.80/378,978,779.70 = 215,664,226.20/x
  3. Step 3: Cross multiply
    252,652,519.80x = 378,978,779.70 × 215,664,226.20
  4. Step 4: Simplify right side
    252,652,519.80x = 81,732,165,270,220,768
  5. Step 5: Solve for x
    x = 81,732,165,270,220,768/252,652,519.80
  6. Step 6: Final answer
    x = 323,496,339.30

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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.