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Finding the Fourth Proportional to 408,138.24, 612,270.48 and 208,350.24

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Solution

The fourth proportional to 408,138.24, 612,270.48 and 208,350.24 is: 312,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,138.24 : 612,270.48 = 208,350.24 : x
  2. Step 2: Convert to fraction form
    408,138.24/612,270.48 = 208,350.24/x
  3. Step 3: Cross multiply
    408,138.24x = 612,270.48 × 208,350.24
  4. Step 4: Simplify right side
    408,138.24x = 127,566,701,452.92
  5. Step 5: Solve for x
    x = 127,566,701,452.92/408,138.24
  6. Step 6: Final answer
    x = 312,557.58

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1.5x scale

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.