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Finding the Fourth Proportional to 432,023.27, 647,978 and 128,410.95

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Solution

The fourth proportional to 432,023.27, 647,978 and 128,410.95 is: 192,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,023.27 : 647,978 = 128,410.95 : x
  2. Step 2: Convert to fraction form
    432,023.27/647,978 = 128,410.95/x
  3. Step 3: Cross multiply
    432,023.27x = 647,978 × 128,410.95
  4. Step 4: Simplify right side
    432,023.27x = 83,207,470,559.10
  5. Step 5: Solve for x
    x = 83,207,470,559.10/432,023.27
  6. Step 6: Final answer
    x = 192,599.51

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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.