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Finding the Fourth Proportional to 412,374.93, 618,660.81 and 146,158.71

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Solution

The fourth proportional to 412,374.93, 618,660.81 and 146,158.71 is: 219,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,374.93 : 618,660.81 = 146,158.71 : x
  2. Step 2: Convert to fraction form
    412,374.93/618,660.81 = 146,158.71/x
  3. Step 3: Cross multiply
    412,374.93x = 618,660.81 × 146,158.71
  4. Step 4: Simplify right side
    412,374.93x = 90,422,665,917.16
  5. Step 5: Solve for x
    x = 90,422,665,917.16/412,374.93
  6. Step 6: Final answer
    x = 219,272.95

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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.