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Finding the Fourth Proportional to 471,015.88, 649,667.70 and 289,489.48

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Solution

The fourth proportional to 471,015.88, 649,667.70 and 289,489.48 is: 399,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,015.88 : 649,667.70 = 289,489.48 : x
  2. Step 2: Convert to fraction form
    471,015.88/649,667.70 = 289,489.48/x
  3. Step 3: Cross multiply
    471,015.88x = 649,667.70 × 289,489.48
  4. Step 4: Simplify right side
    471,015.88x = 188,071,964,645.80
  5. Step 5: Solve for x
    x = 188,071,964,645.80/471,015.88
  6. Step 6: Final answer
    x = 399,290.07

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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.