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Finding the Fourth Proportional to 408,114.37, 612,177.57 and 155,409.00

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Solution

The fourth proportional to 408,114.37, 612,177.57 and 155,409.00 is: 233,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,114.37 : 612,177.57 = 155,409.00 : x
  2. Step 2: Convert to fraction form
    408,114.37/612,177.57 = 155,409.00/x
  3. Step 3: Cross multiply
    408,114.37x = 612,177.57 × 155,409.00
  4. Step 4: Simplify right side
    408,114.37x = 95,137,902,645.86
  5. Step 5: Solve for x
    x = 95,137,902,645.86/408,114.37
  6. Step 6: Final answer
    x = 233,115.79

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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.