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Finding the Fourth Proportional to 432,643.64, 649,372.64 and 219,564.60

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Solution

The fourth proportional to 432,643.64, 649,372.64 and 219,564.60 is: 329,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,643.64 : 649,372.64 = 219,564.60 : x
  2. Step 2: Convert to fraction form
    432,643.64/649,372.64 = 219,564.60/x
  3. Step 3: Cross multiply
    432,643.64x = 649,372.64 × 219,564.60
  4. Step 4: Simplify right side
    432,643.64x = 142,579,243,952.54
  5. Step 5: Solve for x
    x = 142,579,243,952.54/432,643.64
  6. Step 6: Final answer
    x = 329,553.54

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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.