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Finding the Fourth Proportional to 384,353.29, 576,470.81 and 128,190.39

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Solution

The fourth proportional to 384,353.29, 576,470.81 and 128,190.39 is: 192,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,353.29 : 576,470.81 = 128,190.39 : x
  2. Step 2: Convert to fraction form
    384,353.29/576,470.81 = 128,190.39/x
  3. Step 3: Cross multiply
    384,353.29x = 576,470.81 × 128,190.39
  4. Step 4: Simplify right side
    384,353.29x = 73,898,014,434.21
  5. Step 5: Solve for x
    x = 73,898,014,434.21/384,353.29
  6. Step 6: Final answer
    x = 192,265.86

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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.