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Finding the Fourth Proportional to 383,470.71, 574,177.31 and 214,509.87

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Solution

The fourth proportional to 383,470.71, 574,177.31 and 214,509.87 is: 321,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,470.71 : 574,177.31 = 214,509.87 : x
  2. Step 2: Convert to fraction form
    383,470.71/574,177.31 = 214,509.87/x
  3. Step 3: Cross multiply
    383,470.71x = 574,177.31 × 214,509.87
  4. Step 4: Simplify right side
    383,470.71x = 123,166,699,856.91
  5. Step 5: Solve for x
    x = 123,166,699,856.91/383,470.71
  6. Step 6: Final answer
    x = 321,189.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.