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Finding the Fourth Proportional to 470,400.89, 649,422.36 and 309,722.94

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Solution

The fourth proportional to 470,400.89, 649,422.36 and 309,722.94 is: 427,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,400.89 : 649,422.36 = 309,722.94 : x
  2. Step 2: Convert to fraction form
    470,400.89/649,422.36 = 309,722.94/x
  3. Step 3: Cross multiply
    470,400.89x = 649,422.36 × 309,722.94
  4. Step 4: Simplify right side
    470,400.89x = 201,141,002,640.94
  5. Step 5: Solve for x
    x = 201,141,002,640.94/470,400.89
  6. Step 6: Final answer
    x = 427,594.86

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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.