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Finding the Fourth Proportional to 306,271.80, 422,630.46 and 178,933.32

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Solution

The fourth proportional to 306,271.80, 422,630.46 and 178,933.32 is: 246,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,271.80 : 422,630.46 = 178,933.32 : x
  2. Step 2: Convert to fraction form
    306,271.80/422,630.46 = 178,933.32/x
  3. Step 3: Cross multiply
    306,271.80x = 422,630.46 × 178,933.32
  4. Step 4: Simplify right side
    306,271.80x = 75,622,671,340.93
  5. Step 5: Solve for x
    x = 75,622,671,340.93/306,271.80
  6. Step 6: Final answer
    x = 246,913.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.