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Finding the Fourth Proportional to 432,228.57, 648,394.62 and 132,669.90

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Solution

The fourth proportional to 432,228.57, 648,394.62 and 132,669.90 is: 199,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,228.57 : 648,394.62 = 132,669.90 : x
  2. Step 2: Convert to fraction form
    432,228.57/648,394.62 = 132,669.90/x
  3. Step 3: Cross multiply
    432,228.57x = 648,394.62 × 132,669.90
  4. Step 4: Simplify right side
    432,228.57x = 86,022,449,395.94
  5. Step 5: Solve for x
    x = 86,022,449,395.94/432,228.57
  6. Step 6: Final answer
    x = 199,020.74

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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.