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Finding the Fourth Proportional to 242,560,687.60, 363,856,777.80 and 127,769,431.60

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Solution

The fourth proportional to 242,560,687.60, 363,856,777.80 and 127,769,431.60 is: 191,662,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,560,687.60 : 363,856,777.80 = 127,769,431.60 : x
  2. Step 2: Convert to fraction form
    242,560,687.60/363,856,777.80 = 127,769,431.60/x
  3. Step 3: Cross multiply
    242,560,687.60x = 363,856,777.80 × 127,769,431.60
  4. Step 4: Simplify right side
    242,560,687.60x = 46,489,773,683,313,496
  5. Step 5: Solve for x
    x = 46,489,773,683,313,496/242,560,687.60
  6. Step 6: Final answer
    x = 191,662,441.85

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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.