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Finding the Fourth Proportional to 471,019.88, 649,673.22 and 289,493.48

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Solution

The fourth proportional to 471,019.88, 649,673.22 and 289,493.48 is: 399,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,019.88 : 649,673.22 = 289,493.48 : x
  2. Step 2: Convert to fraction form
    471,019.88/649,673.22 = 289,493.48/x
  3. Step 3: Cross multiply
    471,019.88x = 649,673.22 × 289,493.48
  4. Step 4: Simplify right side
    471,019.88x = 188,076,161,320.61
  5. Step 5: Solve for x
    x = 188,076,161,320.61/471,019.88
  6. Step 6: Final answer
    x = 399,295.59

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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.