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Finding the Fourth Proportional to 500,414.84, 690,621.78 and 285,587.24

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Solution

The fourth proportional to 500,414.84, 690,621.78 and 285,587.24 is: 394,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,414.84 : 690,621.78 = 285,587.24 : x
  2. Step 2: Convert to fraction form
    500,414.84/690,621.78 = 285,587.24/x
  3. Step 3: Cross multiply
    500,414.84x = 690,621.78 × 285,587.24
  4. Step 4: Simplify right side
    500,414.84x = 197,232,768,034.09
  5. Step 5: Solve for x
    x = 197,232,768,034.09/500,414.84
  6. Step 6: Final answer
    x = 394,138.53

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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.