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Finding the Fourth Proportional to 500,699.08, 690,992.40 and 285,908.14

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Solution

The fourth proportional to 500,699.08, 690,992.40 and 285,908.14 is: 394,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,699.08 : 690,992.40 = 285,908.14 : x
  2. Step 2: Convert to fraction form
    500,699.08/690,992.40 = 285,908.14/x
  3. Step 3: Cross multiply
    500,699.08x = 690,992.40 × 285,908.14
  4. Step 4: Simplify right side
    500,699.08x = 197,560,351,838.14
  5. Step 5: Solve for x
    x = 197,560,351,838.14/500,699.08
  6. Step 6: Final answer
    x = 394,569.03

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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.