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Finding the Fourth Proportional to 432,080.30, 648,120.45 and 429,455.90

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Solution

The fourth proportional to 432,080.30, 648,120.45 and 429,455.90 is: 644,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,080.30 : 648,120.45 = 429,455.90 : x
  2. Step 2: Convert to fraction form
    432,080.30/648,120.45 = 429,455.90/x
  3. Step 3: Cross multiply
    432,080.30x = 648,120.45 × 429,455.90
  4. Step 4: Simplify right side
    432,080.30x = 278,339,151,163.16
  5. Step 5: Solve for x
    x = 278,339,151,163.16/432,080.30
  6. Step 6: Final answer
    x = 644,183.85

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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.