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Finding the Fourth Proportional to 500,414.34, 690,621.09 and 285,586.74

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Solution

The fourth proportional to 500,414.34, 690,621.09 and 285,586.74 is: 394,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,414.34 : 690,621.09 = 285,586.74 : x
  2. Step 2: Convert to fraction form
    500,414.34/690,621.09 = 285,586.74/x
  3. Step 3: Cross multiply
    500,414.34x = 690,621.09 × 285,586.74
  4. Step 4: Simplify right side
    500,414.34x = 197,232,225,668.35
  5. Step 5: Solve for x
    x = 197,232,225,668.35/500,414.34
  6. Step 6: Final answer
    x = 394,137.84

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1.5x scale

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.