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Finding the Fourth Proportional to 431,353.05, 647,029.58 and 431,353.05

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Solution

The fourth proportional to 431,353.05, 647,029.58 and 431,353.05 is: 647,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,353.05 : 647,029.58 = 431,353.05 : x
  2. Step 2: Convert to fraction form
    431,353.05/647,029.58 = 431,353.05/x
  3. Step 3: Cross multiply
    431,353.05x = 647,029.58 × 431,353.05
  4. Step 4: Simplify right side
    431,353.05x = 279,098,180,616.45
  5. Step 5: Solve for x
    x = 279,098,180,616.45/431,353.05
  6. Step 6: Final answer
    x = 647,029.58

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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.