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Finding the Fourth Proportional to 397,011.97, 595,262.80 and 261,919.77

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Solution

The fourth proportional to 397,011.97, 595,262.80 and 261,919.77 is: 392,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,011.97 : 595,262.80 = 261,919.77 : x
  2. Step 2: Convert to fraction form
    397,011.97/595,262.80 = 261,919.77/x
  3. Step 3: Cross multiply
    397,011.97x = 595,262.80 × 261,919.77
  4. Step 4: Simplify right side
    397,011.97x = 155,911,095,665.56
  5. Step 5: Solve for x
    x = 155,911,095,665.56/397,011.97
  6. Step 6: Final answer
    x = 392,711.32

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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.