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Finding the Fourth Proportional to 470,743.94, 649,628.94 and 255,884

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Solution

The fourth proportional to 470,743.94, 649,628.94 and 255,884 is: 353,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,743.94 : 649,628.94 = 255,884 : x
  2. Step 2: Convert to fraction form
    470,743.94/649,628.94 = 255,884/x
  3. Step 3: Cross multiply
    470,743.94x = 649,628.94 × 255,884
  4. Step 4: Simplify right side
    470,743.94x = 166,229,651,682.96
  5. Step 5: Solve for x
    x = 166,229,651,682.96/470,743.94
  6. Step 6: Final answer
    x = 353,121.17

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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.