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Finding the Fourth Proportional to 432,023.04, 648,034.56 and 136,512

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Solution

The fourth proportional to 432,023.04, 648,034.56 and 136,512 is: 204,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,023.04 : 648,034.56 = 136,512 : x
  2. Step 2: Convert to fraction form
    432,023.04/648,034.56 = 136,512/x
  3. Step 3: Cross multiply
    432,023.04x = 648,034.56 × 136,512
  4. Step 4: Simplify right side
    432,023.04x = 88,464,493,854.72
  5. Step 5: Solve for x
    x = 88,464,493,854.72/432,023.04
  6. Step 6: Final answer
    x = 204,768

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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.