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Finding the Fourth Proportional to 431,723.70, 647,002.35 and 289,163.70

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Solution

The fourth proportional to 431,723.70, 647,002.35 and 289,163.70 is: 433,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,723.70 : 647,002.35 = 289,163.70 : x
  2. Step 2: Convert to fraction form
    431,723.70/647,002.35 = 289,163.70/x
  3. Step 3: Cross multiply
    431,723.70x = 647,002.35 × 289,163.70
  4. Step 4: Simplify right side
    431,723.70x = 187,089,593,434.70
  5. Step 5: Solve for x
    x = 187,089,593,434.70/431,723.70
  6. Step 6: Final answer
    x = 433,354.93

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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.