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Finding the Fourth Proportional to 408,436.86, 612,738.33 and 142,218.13

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Solution

The fourth proportional to 408,436.86, 612,738.33 and 142,218.13 is: 213,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,436.86 : 612,738.33 = 142,218.13 : x
  2. Step 2: Convert to fraction form
    408,436.86/612,738.33 = 142,218.13/x
  3. Step 3: Cross multiply
    408,436.86x = 612,738.33 × 142,218.13
  4. Step 4: Simplify right side
    408,436.86x = 87,142,500,369.39
  5. Step 5: Solve for x
    x = 87,142,500,369.39/408,436.86
  6. Step 6: Final answer
    x = 213,356.11

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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.