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Finding the Fourth Proportional to 407,540.40, 611,310.60 and 255,981.30

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Solution

The fourth proportional to 407,540.40, 611,310.60 and 255,981.30 is: 383,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,540.40 : 611,310.60 = 255,981.30 : x
  2. Step 2: Convert to fraction form
    407,540.40/611,310.60 = 255,981.30/x
  3. Step 3: Cross multiply
    407,540.40x = 611,310.60 × 255,981.30
  4. Step 4: Simplify right side
    407,540.40x = 156,484,082,091.78
  5. Step 5: Solve for x
    x = 156,484,082,091.78/407,540.40
  6. Step 6: Final answer
    x = 383,971.95

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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.