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Finding the Fourth Proportional to 412,839, 619,362.54 and 117,351

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Solution

The fourth proportional to 412,839, 619,362.54 and 117,351 is: 176,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,839 : 619,362.54 = 117,351 : x
  2. Step 2: Convert to fraction form
    412,839/619,362.54 = 117,351/x
  3. Step 3: Cross multiply
    412,839x = 619,362.54 × 117,351
  4. Step 4: Simplify right side
    412,839x = 72,682,813,431.54
  5. Step 5: Solve for x
    x = 72,682,813,431.54/412,839
  6. Step 6: Final answer
    x = 176,056.07

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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.