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Finding the Fourth Proportional to 306,306.32, 422,640.78 and 178,957.31

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Solution

The fourth proportional to 306,306.32, 422,640.78 and 178,957.31 is: 246,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,306.32 : 422,640.78 = 178,957.31 : x
  2. Step 2: Convert to fraction form
    306,306.32/422,640.78 = 178,957.31/x
  3. Step 3: Cross multiply
    306,306.32x = 422,640.78 × 178,957.31
  4. Step 4: Simplify right side
    306,306.32x = 75,634,657,085.10
  5. Step 5: Solve for x
    x = 75,634,657,085.10/306,306.32
  6. Step 6: Final answer
    x = 246,924.90

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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.