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Finding the Fourth Proportional to 432,383.94, 648,974.60 and 219,301.40

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Solution

The fourth proportional to 432,383.94, 648,974.60 and 219,301.40 is: 329,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,383.94 : 648,974.60 = 219,301.40 : x
  2. Step 2: Convert to fraction form
    432,383.94/648,974.60 = 219,301.40/x
  3. Step 3: Cross multiply
    432,383.94x = 648,974.60 × 219,301.40
  4. Step 4: Simplify right side
    432,383.94x = 142,321,038,344.44
  5. Step 5: Solve for x
    x = 142,321,038,344.44/432,383.94
  6. Step 6: Final answer
    x = 329,154.31

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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.