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Finding the Fourth Proportional to 279,609,609.60, 419,414,414.40 and 188,238,499.20

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Solution

The fourth proportional to 279,609,609.60, 419,414,414.40 and 188,238,499.20 is: 282,357,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,609,609.60 : 419,414,414.40 = 188,238,499.20 : x
  2. Step 2: Convert to fraction form
    279,609,609.60/419,414,414.40 = 188,238,499.20/x
  3. Step 3: Cross multiply
    279,609,609.60x = 419,414,414.40 × 188,238,499.20
  4. Step 4: Simplify right side
    279,609,609.60x = 78,949,939,909,502,864
  5. Step 5: Solve for x
    x = 78,949,939,909,502,864/279,609,609.60
  6. Step 6: Final answer
    x = 282,357,748.80

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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.