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Finding the Fourth Proportional to 470,739.94, 649,623.42 and 255,880

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Solution

The fourth proportional to 470,739.94, 649,623.42 and 255,880 is: 353,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,739.94 : 649,623.42 = 255,880 : x
  2. Step 2: Convert to fraction form
    470,739.94/649,623.42 = 255,880/x
  3. Step 3: Cross multiply
    470,739.94x = 649,623.42 × 255,880
  4. Step 4: Simplify right side
    470,739.94x = 166,225,640,709.60
  5. Step 5: Solve for x
    x = 166,225,640,709.60/470,739.94
  6. Step 6: Final answer
    x = 353,115.65

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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.