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Finding the Fourth Proportional to 432,205.88, 648,360.53 and 132,647.25

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Solution

The fourth proportional to 432,205.88, 648,360.53 and 132,647.25 is: 198,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,205.88 : 648,360.53 = 132,647.25 : x
  2. Step 2: Convert to fraction form
    432,205.88/648,360.53 = 132,647.25/x
  3. Step 3: Cross multiply
    432,205.88x = 648,360.53 × 132,647.25
  4. Step 4: Simplify right side
    432,205.88x = 86,003,237,734.98
  5. Step 5: Solve for x
    x = 86,003,237,734.98/432,205.88
  6. Step 6: Final answer
    x = 198,986.74

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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.