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Finding the Fourth Proportional to 253,662,813.81, 380,355,750.81 and 76,374,096.21

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Solution

The fourth proportional to 253,662,813.81, 380,355,750.81 and 76,374,096.21 is: 114,519,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,662,813.81 : 380,355,750.81 = 76,374,096.21 : x
  2. Step 2: Convert to fraction form
    253,662,813.81/380,355,750.81 = 76,374,096.21/x
  3. Step 3: Cross multiply
    253,662,813.81x = 380,355,750.81 × 76,374,096.21
  4. Step 4: Simplify right side
    253,662,813.81x = 29,049,326,706,389,724
  5. Step 5: Solve for x
    x = 29,049,326,706,389,724/253,662,813.81
  6. Step 6: Final answer
    x = 114,519,453.09

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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.