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Finding the Fourth Proportional to 704,368.23, 970,949.64 and 431,930.94

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Solution

The fourth proportional to 704,368.23, 970,949.64 and 431,930.94 is: 595,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,368.23 : 970,949.64 = 431,930.94 : x
  2. Step 2: Convert to fraction form
    704,368.23/970,949.64 = 431,930.94/x
  3. Step 3: Cross multiply
    704,368.23x = 970,949.64 × 431,930.94
  4. Step 4: Simplify right side
    704,368.23x = 419,383,190,697.86
  5. Step 5: Solve for x
    x = 419,383,190,697.86/704,368.23
  6. Step 6: Final answer
    x = 595,403.33

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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.