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Finding the Fourth Proportional to 412,665.71, 618,945.84 and 159,773.18

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Solution

The fourth proportional to 412,665.71, 618,945.84 and 159,773.18 is: 239,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,665.71 : 618,945.84 = 159,773.18 : x
  2. Step 2: Convert to fraction form
    412,665.71/618,945.84 = 159,773.18/x
  3. Step 3: Cross multiply
    412,665.71x = 618,945.84 × 159,773.18
  4. Step 4: Simplify right side
    412,665.71x = 98,890,942,009.84
  5. Step 5: Solve for x
    x = 98,890,942,009.84/412,665.71
  6. Step 6: Final answer
    x = 239,639.35

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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.