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Finding the Fourth Proportional to 408,285.74, 612,389.01 and 123,978.75

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Solution

The fourth proportional to 408,285.74, 612,389.01 and 123,978.75 is: 185,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,285.74 : 612,389.01 = 123,978.75 : x
  2. Step 2: Convert to fraction form
    408,285.74/612,389.01 = 123,978.75/x
  3. Step 3: Cross multiply
    408,285.74x = 612,389.01 × 123,978.75
  4. Step 4: Simplify right side
    408,285.74x = 75,923,223,973.54
  5. Step 5: Solve for x
    x = 75,923,223,973.54/408,285.74
  6. Step 6: Final answer
    x = 185,956.10

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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.