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Finding the Fourth Proportional to 412,265.94, 618,284.08 and 145,954.95

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Solution

The fourth proportional to 412,265.94, 618,284.08 and 145,954.95 is: 218,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,265.94 : 618,284.08 = 145,954.95 : x
  2. Step 2: Convert to fraction form
    412,265.94/618,284.08 = 145,954.95/x
  3. Step 3: Cross multiply
    412,265.94x = 618,284.08 × 145,954.95
  4. Step 4: Simplify right side
    412,265.94x = 90,241,621,982.20
  5. Step 5: Solve for x
    x = 90,241,621,982.20/412,265.94
  6. Step 6: Final answer
    x = 218,891.77

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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.