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Finding the Fourth Proportional to 431,794.20, 647,108.10 and 289,234.20

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Solution

The fourth proportional to 431,794.20, 647,108.10 and 289,234.20 is: 433,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,794.20 : 647,108.10 = 289,234.20 : x
  2. Step 2: Convert to fraction form
    431,794.20/647,108.10 = 289,234.20/x
  3. Step 3: Cross multiply
    431,794.20x = 647,108.10 × 289,234.20
  4. Step 4: Simplify right side
    431,794.20x = 187,165,793,617.02
  5. Step 5: Solve for x
    x = 187,165,793,617.02/431,794.20
  6. Step 6: Final answer
    x = 433,460.65

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1.5x scale

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.