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Finding the Fourth Proportional to 412,669.56, 618,978.86 and 146,395

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Solution

The fourth proportional to 412,669.56, 618,978.86 and 146,395 is: 219,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,669.56 : 618,978.86 = 146,395 : x
  2. Step 2: Convert to fraction form
    412,669.56/618,978.86 = 146,395/x
  3. Step 3: Cross multiply
    412,669.56x = 618,978.86 × 146,395
  4. Step 4: Simplify right side
    412,669.56x = 90,615,410,209.70
  5. Step 5: Solve for x
    x = 90,615,410,209.70/412,669.56
  6. Step 6: Final answer
    x = 219,583.46

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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.