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Finding the Fourth Proportional to 408,152.66, 612,230.18 and 123,845.54

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Solution

The fourth proportional to 408,152.66, 612,230.18 and 123,845.54 is: 185,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,152.66 : 612,230.18 = 123,845.54 : x
  2. Step 2: Convert to fraction form
    408,152.66/612,230.18 = 123,845.54/x
  3. Step 3: Cross multiply
    408,152.66x = 612,230.18 × 123,845.54
  4. Step 4: Simplify right side
    408,152.66x = 75,821,973,566.02
  5. Step 5: Solve for x
    x = 75,821,973,566.02/408,152.66
  6. Step 6: Final answer
    x = 185,768.66

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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.