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Finding the Fourth Proportional to 470,391.25, 649,409.04 and 309,712.96

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Solution

The fourth proportional to 470,391.25, 649,409.04 and 309,712.96 is: 427,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,391.25 : 649,409.04 = 309,712.96 : x
  2. Step 2: Convert to fraction form
    470,391.25/649,409.04 = 309,712.96/x
  3. Step 3: Cross multiply
    470,391.25x = 649,409.04 × 309,712.96
  4. Step 4: Simplify right side
    470,391.25x = 201,130,396,029.16
  5. Step 5: Solve for x
    x = 201,130,396,029.16/470,391.25
  6. Step 6: Final answer
    x = 427,581.07

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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.