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Finding the Fourth Proportional to 380,980.38, 571,470.54 and 128,239.66

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Solution

The fourth proportional to 380,980.38, 571,470.54 and 128,239.66 is: 192,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,980.38 : 571,470.54 = 128,239.66 : x
  2. Step 2: Convert to fraction form
    380,980.38/571,470.54 = 128,239.66/x
  3. Step 3: Cross multiply
    380,980.38x = 571,470.54 × 128,239.66
  4. Step 4: Simplify right side
    380,980.38x = 73,285,187,749.62
  5. Step 5: Solve for x
    x = 73,285,187,749.62/380,980.38
  6. Step 6: Final answer
    x = 192,359.48

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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.