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Finding the Fourth Proportional to 397,739.70, 595,953.45 and 338,690.70

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Solution

The fourth proportional to 397,739.70, 595,953.45 and 338,690.70 is: 507,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,739.70 : 595,953.45 = 338,690.70 : x
  2. Step 2: Convert to fraction form
    397,739.70/595,953.45 = 338,690.70/x
  3. Step 3: Cross multiply
    397,739.70x = 595,953.45 × 338,690.70
  4. Step 4: Simplify right side
    397,739.70x = 201,843,891,147.92
  5. Step 5: Solve for x
    x = 201,843,891,147.92/397,739.70
  6. Step 6: Final answer
    x = 507,477.36

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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.