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Finding the Fourth Proportional to 703,447.70, 970,775.92 and 431,665.78

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Solution

The fourth proportional to 703,447.70, 970,775.92 and 431,665.78 is: 595,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,447.70 : 970,775.92 = 431,665.78 : x
  2. Step 2: Convert to fraction form
    703,447.70/970,775.92 = 431,665.78/x
  3. Step 3: Cross multiply
    703,447.70x = 970,775.92 × 431,665.78
  4. Step 4: Simplify right side
    703,447.70x = 419,050,744,712.02
  5. Step 5: Solve for x
    x = 419,050,744,712.02/703,447.70
  6. Step 6: Final answer
    x = 595,709.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.