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Finding the Fourth Proportional to 432,369.92, 648,556.80 and 132,848

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Solution

The fourth proportional to 432,369.92, 648,556.80 and 132,848 is: 199,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,369.92 : 648,556.80 = 132,848 : x
  2. Step 2: Convert to fraction form
    432,369.92/648,556.80 = 132,848/x
  3. Step 3: Cross multiply
    432,369.92x = 648,556.80 × 132,848
  4. Step 4: Simplify right side
    432,369.92x = 86,159,473,766.40
  5. Step 5: Solve for x
    x = 86,159,473,766.40/432,369.92
  6. Step 6: Final answer
    x = 199,272.59

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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.