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Finding the Fourth Proportional to 471,588.89, 649,351.49 and 355,470.93

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Solution

The fourth proportional to 471,588.89, 649,351.49 and 355,470.93 is: 489,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,588.89 : 649,351.49 = 355,470.93 : x
  2. Step 2: Convert to fraction form
    471,588.89/649,351.49 = 355,470.93/x
  3. Step 3: Cross multiply
    471,588.89x = 649,351.49 × 355,470.93
  4. Step 4: Simplify right side
    471,588.89x = 230,825,576,269.83
  5. Step 5: Solve for x
    x = 230,825,576,269.83/471,588.89
  6. Step 6: Final answer
    x = 489,463.56

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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.