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Finding the Fourth Proportional to 470,998.52, 649,982.31 and 256,140.62

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Solution

The fourth proportional to 470,998.52, 649,982.31 and 256,140.62 is: 353,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,998.52 : 649,982.31 = 256,140.62 : x
  2. Step 2: Convert to fraction form
    470,998.52/649,982.31 = 256,140.62/x
  3. Step 3: Cross multiply
    470,998.52x = 649,982.31 × 256,140.62
  4. Step 4: Simplify right side
    470,998.52x = 166,486,871,872.43
  5. Step 5: Solve for x
    x = 166,486,871,872.43/470,998.52
  6. Step 6: Final answer
    x = 353,476.42

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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.