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Finding the Fourth Proportional to 471,020.88, 649,674.60 and 289,494.48

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Solution

The fourth proportional to 471,020.88, 649,674.60 and 289,494.48 is: 399,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,020.88 : 649,674.60 = 289,494.48 : x
  2. Step 2: Convert to fraction form
    471,020.88/649,674.60 = 289,494.48/x
  3. Step 3: Cross multiply
    471,020.88x = 649,674.60 × 289,494.48
  4. Step 4: Simplify right side
    471,020.88x = 188,077,210,496.21
  5. Step 5: Solve for x
    x = 188,077,210,496.21/471,020.88
  6. Step 6: Final answer
    x = 399,296.97

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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.