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Finding the Fourth Proportional to 500,698.83, 690,992.07 and 285,907.89

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Solution

The fourth proportional to 500,698.83, 690,992.07 and 285,907.89 is: 394,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,698.83 : 690,992.07 = 285,907.89 : x
  2. Step 2: Convert to fraction form
    500,698.83/690,992.07 = 285,907.89/x
  3. Step 3: Cross multiply
    500,698.83x = 690,992.07 × 285,907.89
  4. Step 4: Simplify right side
    500,698.83x = 197,560,084,740.43
  5. Step 5: Solve for x
    x = 197,560,084,740.43/500,698.83
  6. Step 6: Final answer
    x = 394,568.70

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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.