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Finding the Fourth Proportional to 470,492.88, 649,286.07 and 255,636.54

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Solution

The fourth proportional to 470,492.88, 649,286.07 and 255,636.54 is: 352,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,492.88 : 649,286.07 = 255,636.54 : x
  2. Step 2: Convert to fraction form
    470,492.88/649,286.07 = 255,636.54/x
  3. Step 3: Cross multiply
    470,492.88x = 649,286.07 × 255,636.54
  4. Step 4: Simplify right side
    470,492.88x = 165,981,244,405.00
  5. Step 5: Solve for x
    x = 165,981,244,405.00/470,492.88
  6. Step 6: Final answer
    x = 352,781.63

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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.