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Finding the Fourth Proportional to 432,273.60, 648,410.37 and 221,777.28

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Solution

The fourth proportional to 432,273.60, 648,410.37 and 221,777.28 is: 332,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,273.60 : 648,410.37 = 221,777.28 : x
  2. Step 2: Convert to fraction form
    432,273.60/648,410.37 = 221,777.28/x
  3. Step 3: Cross multiply
    432,273.60x = 648,410.37 × 221,777.28
  4. Step 4: Simplify right side
    432,273.60x = 143,802,688,182.39
  5. Step 5: Solve for x
    x = 143,802,688,182.39/432,273.60
  6. Step 6: Final answer
    x = 332,665.90

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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.