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Finding the Fourth Proportional to 432,171.85, 648,209.25 and 165,745.45

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Solution

The fourth proportional to 432,171.85, 648,209.25 and 165,745.45 is: 248,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,171.85 : 648,209.25 = 165,745.45 : x
  2. Step 2: Convert to fraction form
    432,171.85/648,209.25 = 165,745.45/x
  3. Step 3: Cross multiply
    432,171.85x = 648,209.25 × 165,745.45
  4. Step 4: Simplify right side
    432,171.85x = 107,437,733,835.41
  5. Step 5: Solve for x
    x = 107,437,733,835.41/432,171.85
  6. Step 6: Final answer
    x = 248,599.56

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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.